Evaluate
\left(\left(x-3\right)\left(x+2\right)\right)^{2}
Expand
x^{4}-2x^{3}-11x^{2}+12x+36
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\left(x^{2}-6x+9\right)\left(x+2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
\left(x^{2}-6x+9\right)\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{4}-2x^{3}-11x^{2}+12x+36
Use the distributive property to multiply x^{2}-6x+9 by x^{2}+4x+4 and combine like terms.
\left(x^{2}-6x+9\right)\left(x+2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
\left(x^{2}-6x+9\right)\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{4}-2x^{3}-11x^{2}+12x+36
Use the distributive property to multiply x^{2}-6x+9 by x^{2}+4x+4 and combine like terms.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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}