Solve for y
y=\left(x-2\right)\left(x+3\right)\left(x-4\right)^{2}\left(x^{2}+x+6\right)
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y=\left(x^{4}-7x^{3}+14x^{2}-32x+96\right)\left(x^{2}+x-6\right)
Use the distributive property to multiply x^{2}-8x+16 by x^{2}+x+6 and combine like terms.
y=x^{6}-6x^{5}+x^{4}+24x^{3}-20x^{2}+288x-576
Use the distributive property to multiply x^{4}-7x^{3}+14x^{2}-32x+96 by x^{2}+x-6 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
\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]
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}