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x^{2}+8
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x^{2}+8
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2x+2x^{2}-\left(x-2\right)\left(x+4\right)
Use the distributive property to multiply 2x by 1+x.
2x+2x^{2}-\left(x^{2}+4x-2x-8\right)
Apply the distributive property by multiplying each term of x-2 by each term of x+4.
2x+2x^{2}-\left(x^{2}+2x-8\right)
Combine 4x and -2x to get 2x.
2x+2x^{2}-x^{2}-2x-\left(-8\right)
To find the opposite of x^{2}+2x-8, find the opposite of each term.
2x+2x^{2}-x^{2}-2x+8
The opposite of -8 is 8.
2x+x^{2}-2x+8
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}+8
Combine 2x and -2x to get 0.
2x+2x^{2}-\left(x-2\right)\left(x+4\right)
Use the distributive property to multiply 2x by 1+x.
2x+2x^{2}-\left(x^{2}+4x-2x-8\right)
Apply the distributive property by multiplying each term of x-2 by each term of x+4.
2x+2x^{2}-\left(x^{2}+2x-8\right)
Combine 4x and -2x to get 2x.
2x+2x^{2}-x^{2}-2x-\left(-8\right)
To find the opposite of x^{2}+2x-8, find the opposite of each term.
2x+2x^{2}-x^{2}-2x+8
The opposite of -8 is 8.
2x+x^{2}-2x+8
Combine 2x^{2} and -x^{2} to get x^{2}.
x^{2}+8
Combine 2x and -2x 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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