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2x^{2}+10x+3
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2x^{2}+10x+3
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3x^{2}+12x+6-\left(x^{2}+2x+3\right)
Use the distributive property to multiply 3 by x^{2}+4x+2.
3x^{2}+12x+6-x^{2}-2x-3
To find the opposite of x^{2}+2x+3, find the opposite of each term.
2x^{2}+12x+6-2x-3
Combine 3x^{2} and -x^{2} to get 2x^{2}.
2x^{2}+10x+6-3
Combine 12x and -2x to get 10x.
2x^{2}+10x+3
Subtract 3 from 6 to get 3.
3x^{2}+12x+6-\left(x^{2}+2x+3\right)
Use the distributive property to multiply 3 by x^{2}+4x+2.
3x^{2}+12x+6-x^{2}-2x-3
To find the opposite of x^{2}+2x+3, find the opposite of each term.
2x^{2}+12x+6-2x-3
Combine 3x^{2} and -x^{2} to get 2x^{2}.
2x^{2}+10x+6-3
Combine 12x and -2x to get 10x.
2x^{2}+10x+3
Subtract 3 from 6 to get 3.
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