Evaluate
\left(x-3\right)^{2}\left(x^{2}-1\right)
Expand
x^{4}-6x^{3}+8x^{2}+6x-9
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x^{2}\left(x^{2}-6x+9\right)-\left(3-x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{4}-6x^{3}+9x^{2}-\left(3-x\right)^{2}
Use the distributive property to multiply x^{2} by x^{2}-6x+9.
x^{4}-6x^{3}+9x^{2}-\left(9-6x+x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-x\right)^{2}.
x^{4}-6x^{3}+9x^{2}-9+6x-x^{2}
To find the opposite of 9-6x+x^{2}, find the opposite of each term.
x^{4}-6x^{3}+8x^{2}-9+6x
Combine 9x^{2} and -x^{2} to get 8x^{2}.
x^{2}\left(x^{2}-6x+9\right)-\left(3-x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{4}-6x^{3}+9x^{2}-\left(3-x\right)^{2}
Use the distributive property to multiply x^{2} by x^{2}-6x+9.
x^{4}-6x^{3}+9x^{2}-\left(9-6x+x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-x\right)^{2}.
x^{4}-6x^{3}+9x^{2}-9+6x-x^{2}
To find the opposite of 9-6x+x^{2}, find the opposite of each term.
x^{4}-6x^{3}+8x^{2}-9+6x
Combine 9x^{2} and -x^{2} to get 8x^{2}.
Examples
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y = 3x + 4
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Matrix
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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}