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Problemi Simili mit-Tiftix tal-Web

https://www.tiger-algebra.com/drill/(1/(2r~2-3rs_s~2))_(1/(r~2-3rs_2s~2))-(3/(2r~2-5rs_2s~2))/
https://www.tiger-algebra.com/drill/1/3(1-2u_3/5u~2_3u~4)-1/2(2-u_2mz/3u~2-1/2u~3)/
https://www.tiger-algebra.com/drill/((t~2-r~2)/(t~2_tr-2r~2))/((t~2_3tr_2r~2)/(t~2_2tr_r~2))/

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\frac{1}{16}r^{2}-\frac{1}{2}rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\left(r+\frac{1}{4}s\right)^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkwadra \frac{1}{4}r-s+\frac{2}{3}t.
\frac{1}{16}r^{2}-\frac{1}{2}rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\left(r^{2}+\frac{1}{2}rs+\frac{1}{16}s^{2}\right)-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(r+\frac{1}{4}s\right)^{2}.
\frac{1}{16}r^{2}-\frac{1}{2}rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-r^{2}-\frac{1}{2}rs-\frac{1}{16}s^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Biex issib l-oppost ta' r^{2}+\frac{1}{2}rs+\frac{1}{16}s^{2}, sib l-oppost ta' kull terminu.
-\frac{15}{16}r^{2}-\frac{1}{2}rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\frac{1}{2}rs-\frac{1}{16}s^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina \frac{1}{16}r^{2} u -r^{2} biex tikseb -\frac{15}{16}r^{2}.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\frac{1}{16}s^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina -\frac{1}{2}rs u -\frac{1}{2}rs biex tikseb -rs.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt+\frac{15}{16}s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina s^{2} u -\frac{1}{16}s^{2} biex tikseb \frac{15}{16}s^{2}.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt+\frac{15}{16}s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\left(s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}\right)+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(s-\frac{2}{3}t\right)^{2}.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt+\frac{15}{16}s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-s^{2}+\frac{4}{3}st-\frac{4}{9}t^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Biex issib l-oppost ta' s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}, sib l-oppost ta' kull terminu.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}+\frac{4}{3}st-\frac{4}{9}t^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina \frac{15}{16}s^{2} u -s^{2} biex tikseb -\frac{1}{16}s^{2}.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+\frac{4}{9}t^{2}-\frac{4}{9}t^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina -\frac{4}{3}st u \frac{4}{3}st biex tikseb 0.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina \frac{4}{9}t^{2} u -\frac{4}{9}t^{2} biex tikseb 0.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+\left(\frac{1}{16}r+\frac{1}{16}s\right)\left(15r+s\right)
Uża l-propjetà distributtiva biex timmultiplika \frac{1}{16} b'r+s.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+\frac{15}{16}r^{2}+rs+\frac{1}{16}s^{2}
Uża l-propjetà distributtiva biex timmultiplika \frac{1}{16}r+\frac{1}{16}s b'15r+s u kkombina termini simili.
-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+rs+\frac{1}{16}s^{2}
Ikkombina -\frac{15}{16}r^{2} u \frac{15}{16}r^{2} biex tikseb 0.
\frac{1}{3}rt-\frac{1}{16}s^{2}+\frac{1}{16}s^{2}
Ikkombina -rs u rs biex tikseb 0.
\frac{1}{3}rt
Ikkombina -\frac{1}{16}s^{2} u \frac{1}{16}s^{2} biex tikseb 0.
\frac{1}{16}r^{2}-\frac{1}{2}rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\left(r+\frac{1}{4}s\right)^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkwadra \frac{1}{4}r-s+\frac{2}{3}t.
\frac{1}{16}r^{2}-\frac{1}{2}rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\left(r^{2}+\frac{1}{2}rs+\frac{1}{16}s^{2}\right)-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(r+\frac{1}{4}s\right)^{2}.
\frac{1}{16}r^{2}-\frac{1}{2}rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-r^{2}-\frac{1}{2}rs-\frac{1}{16}s^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Biex issib l-oppost ta' r^{2}+\frac{1}{2}rs+\frac{1}{16}s^{2}, sib l-oppost ta' kull terminu.
-\frac{15}{16}r^{2}-\frac{1}{2}rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\frac{1}{2}rs-\frac{1}{16}s^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina \frac{1}{16}r^{2} u -r^{2} biex tikseb -\frac{15}{16}r^{2}.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt+s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\frac{1}{16}s^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina -\frac{1}{2}rs u -\frac{1}{2}rs biex tikseb -rs.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt+\frac{15}{16}s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\left(s-\frac{2}{3}t\right)^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina s^{2} u -\frac{1}{16}s^{2} biex tikseb \frac{15}{16}s^{2}.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt+\frac{15}{16}s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-\left(s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}\right)+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(s-\frac{2}{3}t\right)^{2}.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt+\frac{15}{16}s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}-s^{2}+\frac{4}{3}st-\frac{4}{9}t^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Biex issib l-oppost ta' s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}, sib l-oppost ta' kull terminu.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}-\frac{4}{3}st+\frac{4}{9}t^{2}+\frac{4}{3}st-\frac{4}{9}t^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina \frac{15}{16}s^{2} u -s^{2} biex tikseb -\frac{1}{16}s^{2}.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+\frac{4}{9}t^{2}-\frac{4}{9}t^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina -\frac{4}{3}st u \frac{4}{3}st biex tikseb 0.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+\frac{1}{16}\left(r+s\right)\left(15r+s\right)
Ikkombina \frac{4}{9}t^{2} u -\frac{4}{9}t^{2} biex tikseb 0.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+\left(\frac{1}{16}r+\frac{1}{16}s\right)\left(15r+s\right)
Uża l-propjetà distributtiva biex timmultiplika \frac{1}{16} b'r+s.
-\frac{15}{16}r^{2}-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+\frac{15}{16}r^{2}+rs+\frac{1}{16}s^{2}
Uża l-propjetà distributtiva biex timmultiplika \frac{1}{16}r+\frac{1}{16}s b'15r+s u kkombina termini simili.
-rs+\frac{1}{3}rt-\frac{1}{16}s^{2}+rs+\frac{1}{16}s^{2}
Ikkombina -\frac{15}{16}r^{2} u \frac{15}{16}r^{2} biex tikseb 0.
\frac{1}{3}rt-\frac{1}{16}s^{2}+\frac{1}{16}s^{2}
Ikkombina -rs u rs biex tikseb 0.
\frac{1}{3}rt
Ikkombina -\frac{1}{16}s^{2} u \frac{1}{16}s^{2} biex tikseb 0.

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