Evaluate
\left(x+5\right)\left(x^{2}-36\right)
Expand
x^{3}+5x^{2}-36x-180
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x^{3}+6x^{2}-x\left(x+6\right)-30\left(x+6\right)
Use the distributive property to multiply x^{2} by x+6.
x^{3}+6x^{2}-\left(x^{2}+6x\right)-30\left(x+6\right)
Use the distributive property to multiply x by x+6.
x^{3}+6x^{2}-x^{2}-6x-30\left(x+6\right)
To find the opposite of x^{2}+6x, find the opposite of each term.
x^{3}+5x^{2}-6x-30\left(x+6\right)
Combine 6x^{2} and -x^{2} to get 5x^{2}.
x^{3}+5x^{2}-6x-30x-180
Use the distributive property to multiply -30 by x+6.
x^{3}+5x^{2}-36x-180
Combine -6x and -30x to get -36x.
x^{3}+6x^{2}-x\left(x+6\right)-30\left(x+6\right)
Use the distributive property to multiply x^{2} by x+6.
x^{3}+6x^{2}-\left(x^{2}+6x\right)-30\left(x+6\right)
Use the distributive property to multiply x by x+6.
x^{3}+6x^{2}-x^{2}-6x-30\left(x+6\right)
To find the opposite of x^{2}+6x, find the opposite of each term.
x^{3}+5x^{2}-6x-30\left(x+6\right)
Combine 6x^{2} and -x^{2} to get 5x^{2}.
x^{3}+5x^{2}-6x-30x-180
Use the distributive property to multiply -30 by x+6.
x^{3}+5x^{2}-36x-180
Combine -6x and -30x to get -36x.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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