Evaluate
x^{2}+6x-18
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x^{2}+6x-18
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\left(2x+6\right)\left(x-3\right)-x\left(x-6\right)
Use the distributive property to multiply 2 by x+3.
2x^{2}-6x+6x-18-x\left(x-6\right)
Apply the distributive property by multiplying each term of 2x+6 by each term of x-3.
2x^{2}-18-x\left(x-6\right)
Combine -6x and 6x to get 0.
2x^{2}-18-\left(x^{2}-6x\right)
Use the distributive property to multiply x by x-6.
2x^{2}-18-x^{2}-\left(-6x\right)
To find the opposite of x^{2}-6x, find the opposite of each term.
2x^{2}-18-x^{2}+6x
The opposite of -6x is 6x.
x^{2}-18+6x
Combine 2x^{2} and -x^{2} to get x^{2}.
\left(2x+6\right)\left(x-3\right)-x\left(x-6\right)
Use the distributive property to multiply 2 by x+3.
2x^{2}-6x+6x-18-x\left(x-6\right)
Apply the distributive property by multiplying each term of 2x+6 by each term of x-3.
2x^{2}-18-x\left(x-6\right)
Combine -6x and 6x to get 0.
2x^{2}-18-\left(x^{2}-6x\right)
Use the distributive property to multiply x by x-6.
2x^{2}-18-x^{2}-\left(-6x\right)
To find the opposite of x^{2}-6x, find the opposite of each term.
2x^{2}-18-x^{2}+6x
The opposite of -6x is 6x.
x^{2}-18+6x
Combine 2x^{2} and -x^{2} to get x^{2}.
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