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Problemi Simili mit-Tiftix tal-Web

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36\left(x^{2}-\frac{1}{2}x+\frac{1}{16}\right)-64\left(x-\frac{5}{4}\right)^{2}
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-\frac{1}{4}\right)^{2}.
36x^{2}-18x+\frac{9}{4}-64\left(x-\frac{5}{4}\right)^{2}
Uża l-propjetà distributtiva biex timmultiplika 36 b'x^{2}-\frac{1}{2}x+\frac{1}{16}.
36x^{2}-18x+\frac{9}{4}-64\left(x^{2}-\frac{5}{2}x+\frac{25}{16}\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-\frac{5}{4}\right)^{2}.
36x^{2}-18x+\frac{9}{4}-64x^{2}+160x-100
Uża l-propjetà distributtiva biex timmultiplika -64 b'x^{2}-\frac{5}{2}x+\frac{25}{16}.
-28x^{2}-18x+\frac{9}{4}+160x-100
Ikkombina 36x^{2} u -64x^{2} biex tikseb -28x^{2}.
-28x^{2}+142x+\frac{9}{4}-100
Ikkombina -18x u 160x biex tikseb 142x.
-28x^{2}+142x-\frac{391}{4}
Naqqas 100 minn \frac{9}{4} biex tikseb -\frac{391}{4}.
36\left(x^{2}-\frac{1}{2}x+\frac{1}{16}\right)-64\left(x-\frac{5}{4}\right)^{2}
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-\frac{1}{4}\right)^{2}.
36x^{2}-18x+\frac{9}{4}-64\left(x-\frac{5}{4}\right)^{2}
Uża l-propjetà distributtiva biex timmultiplika 36 b'x^{2}-\frac{1}{2}x+\frac{1}{16}.
36x^{2}-18x+\frac{9}{4}-64\left(x^{2}-\frac{5}{2}x+\frac{25}{16}\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-\frac{5}{4}\right)^{2}.
36x^{2}-18x+\frac{9}{4}-64x^{2}+160x-100
Uża l-propjetà distributtiva biex timmultiplika -64 b'x^{2}-\frac{5}{2}x+\frac{25}{16}.
-28x^{2}-18x+\frac{9}{4}+160x-100
Ikkombina 36x^{2} u -64x^{2} biex tikseb -28x^{2}.
-28x^{2}+142x+\frac{9}{4}-100
Ikkombina -18x u 160x biex tikseb 142x.
-28x^{2}+142x-\frac{391}{4}
Naqqas 100 minn \frac{9}{4} biex tikseb -\frac{391}{4}.