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12x+15
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x^{3}-4x+15-x\left(x-4\right)\left(x+4\right)
Use the distributive property to multiply x+3 by x^{2}-3x+5 and combine like terms.
x^{3}-4x+15-\left(x^{2}-4x\right)\left(x+4\right)
Use the distributive property to multiply x by x-4.
x^{3}-4x+15-\left(x^{3}-16x\right)
Use the distributive property to multiply x^{2}-4x by x+4 and combine like terms.
x^{3}-4x+15-x^{3}+16x
To find the opposite of x^{3}-16x, find the opposite of each term.
-4x+15+16x
Combine x^{3} and -x^{3} to get 0.
12x+15
Combine -4x and 16x to get 12x.
x^{3}-4x+15-x\left(x-4\right)\left(x+4\right)
Use the distributive property to multiply x+3 by x^{2}-3x+5 and combine like terms.
x^{3}-4x+15-\left(x^{2}-4x\right)\left(x+4\right)
Use the distributive property to multiply x by x-4.
x^{3}-4x+15-\left(x^{3}-16x\right)
Use the distributive property to multiply x^{2}-4x by x+4 and combine like terms.
x^{3}-4x+15-x^{3}+16x
To find the opposite of x^{3}-16x, find the opposite of each term.
-4x+15+16x
Combine x^{3} and -x^{3} to get 0.
12x+15
Combine -4x and 16x to get 12x.
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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