Evalwa
4x^{2}
Espandi
4x^{2}
Sehem
Ikkupjat fuq il-klibbord
x^{2}-xy+\frac{1}{4}y^{2}+\left(x+\frac{1}{2}y\right)^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-\frac{1}{2}y\right)^{2}.
x^{2}-xy+\frac{1}{4}y^{2}+x^{2}+xy+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(x+\frac{1}{2}y\right)^{2}.
2x^{2}-xy+\frac{1}{4}y^{2}+xy+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Ikkombina x^{2} u x^{2} biex tikseb 2x^{2}.
2x^{2}+\frac{1}{4}y^{2}+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Ikkombina -xy u xy biex tikseb 0.
2x^{2}+\frac{1}{2}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Ikkombina \frac{1}{4}y^{2} u \frac{1}{4}y^{2} biex tikseb \frac{1}{2}y^{2}.
2x^{2}+\frac{1}{2}y^{2}+\left(2x-y\right)\left(x+\frac{1}{2}y\right)
Uża l-propjetà distributtiva biex timmultiplika 2 b'x-\frac{1}{2}y.
2x^{2}+\frac{1}{2}y^{2}+2x^{2}-\frac{1}{2}y^{2}
Uża l-propjetà distributtiva biex timmultiplika 2x-y b'x+\frac{1}{2}y u kkombina termini simili.
4x^{2}+\frac{1}{2}y^{2}-\frac{1}{2}y^{2}
Ikkombina 2x^{2} u 2x^{2} biex tikseb 4x^{2}.
4x^{2}
Ikkombina \frac{1}{2}y^{2} u -\frac{1}{2}y^{2} biex tikseb 0.
x^{2}-xy+\frac{1}{4}y^{2}+\left(x+\frac{1}{2}y\right)^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-\frac{1}{2}y\right)^{2}.
x^{2}-xy+\frac{1}{4}y^{2}+x^{2}+xy+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(x+\frac{1}{2}y\right)^{2}.
2x^{2}-xy+\frac{1}{4}y^{2}+xy+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Ikkombina x^{2} u x^{2} biex tikseb 2x^{2}.
2x^{2}+\frac{1}{4}y^{2}+\frac{1}{4}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Ikkombina -xy u xy biex tikseb 0.
2x^{2}+\frac{1}{2}y^{2}+2\left(x-\frac{1}{2}y\right)\left(x+\frac{1}{2}y\right)
Ikkombina \frac{1}{4}y^{2} u \frac{1}{4}y^{2} biex tikseb \frac{1}{2}y^{2}.
2x^{2}+\frac{1}{2}y^{2}+\left(2x-y\right)\left(x+\frac{1}{2}y\right)
Uża l-propjetà distributtiva biex timmultiplika 2 b'x-\frac{1}{2}y.
2x^{2}+\frac{1}{2}y^{2}+2x^{2}-\frac{1}{2}y^{2}
Uża l-propjetà distributtiva biex timmultiplika 2x-y b'x+\frac{1}{2}y u kkombina termini simili.
4x^{2}+\frac{1}{2}y^{2}-\frac{1}{2}y^{2}
Ikkombina 2x^{2} u 2x^{2} biex tikseb 4x^{2}.
4x^{2}
Ikkombina \frac{1}{2}y^{2} u -\frac{1}{2}y^{2} biex tikseb 0.
Eżempji
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometrija
4 \sin \theta \cos \theta = 2 \sin \theta
Ekwazzjoni lineari
y = 3x + 4
Aritmetika
699 * 533
Matriċi
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Ekwazzjoni simultanja
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differenzazzjoni
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrazzjoni
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limiti
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}