Evaluate
8\left(x-y\right)^{2}
Expand
8x^{2}-16xy+8y^{2}
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4\left(x-y\right)^{2}\times 2
Multiply x-y and x-y to get \left(x-y\right)^{2}.
4\left(x^{2}-2xy+y^{2}\right)\times 2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
8\left(x^{2}-2xy+y^{2}\right)
Multiply 4 and 2 to get 8.
8x^{2}-16xy+8y^{2}
Use the distributive property to multiply 8 by x^{2}-2xy+y^{2}.
4\left(x-y\right)^{2}\times 2
Multiply x-y and x-y to get \left(x-y\right)^{2}.
4\left(x^{2}-2xy+y^{2}\right)\times 2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
8\left(x^{2}-2xy+y^{2}\right)
Multiply 4 and 2 to get 8.
8x^{2}-16xy+8y^{2}
Use the distributive property to multiply 8 by x^{2}-2xy+y^{2}.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}