Evaluate
\left(2x-7\right)\left(2x+5\right)\left(x^{2}-9\right)-91
Expand
4x^{4}-4x^{3}-71x^{2}+36x+224
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\left(2x^{3}-18x+5x^{2}-45\right)\left(2x-7\right)-91
Use the distributive property to multiply 2x+5 by x^{2}-9.
4x^{4}-4x^{3}-71x^{2}+36x+315-91
Use the distributive property to multiply 2x^{3}-18x+5x^{2}-45 by 2x-7 and combine like terms.
4x^{4}-4x^{3}-71x^{2}+36x+224
Subtract 91 from 315 to get 224.
\left(2x^{3}-18x+5x^{2}-45\right)\left(2x-7\right)-91
Use the distributive property to multiply 2x+5 by x^{2}-9.
4x^{4}-4x^{3}-71x^{2}+36x+315-91
Use the distributive property to multiply 2x^{3}-18x+5x^{2}-45 by 2x-7 and combine like terms.
4x^{4}-4x^{3}-71x^{2}+36x+224
Subtract 91 from 315 to get 224.
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}