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-16x
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-16x
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x^{2}-8x+16-\left(x+4\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{2}-8x+16-\left(x^{2}+8x+16\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
x^{2}-8x+16-x^{2}-8x-16
To find the opposite of x^{2}+8x+16, find the opposite of each term.
-8x+16-8x-16
Combine x^{2} and -x^{2} to get 0.
-16x+16-16
Combine -8x and -8x to get -16x.
-16x
Subtract 16 from 16 to get 0.
x^{2}-8x+16-\left(x+4\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{2}-8x+16-\left(x^{2}+8x+16\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
x^{2}-8x+16-x^{2}-8x-16
To find the opposite of x^{2}+8x+16, find the opposite of each term.
-8x+16-8x-16
Combine x^{2} and -x^{2} to get 0.
-16x+16-16
Combine -8x and -8x to get -16x.
-16x
Subtract 16 from 16 to get 0.
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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