Evaluate
5x^{3}+8x^{2}+12x+15
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5x^{3}+8x^{2}+12x+15
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5x^{3}+10x^{2}+5x-\left(2x+3\right)\left(x-5\right)
Use the distributive property to multiply 5x by x^{2}+2x+1.
5x^{3}+10x^{2}+5x-\left(2x^{2}-7x-15\right)
Use the distributive property to multiply 2x+3 by x-5 and combine like terms.
5x^{3}+10x^{2}+5x-2x^{2}+7x+15
To find the opposite of 2x^{2}-7x-15, find the opposite of each term.
5x^{3}+8x^{2}+5x+7x+15
Combine 10x^{2} and -2x^{2} to get 8x^{2}.
5x^{3}+8x^{2}+12x+15
Combine 5x and 7x to get 12x.
5x^{3}+10x^{2}+5x-\left(2x+3\right)\left(x-5\right)
Use the distributive property to multiply 5x by x^{2}+2x+1.
5x^{3}+10x^{2}+5x-\left(2x^{2}-7x-15\right)
Use the distributive property to multiply 2x+3 by x-5 and combine like terms.
5x^{3}+10x^{2}+5x-2x^{2}+7x+15
To find the opposite of 2x^{2}-7x-15, find the opposite of each term.
5x^{3}+8x^{2}+5x+7x+15
Combine 10x^{2} and -2x^{2} to get 8x^{2}.
5x^{3}+8x^{2}+12x+15
Combine 5x and 7x to get 12x.
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