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4x^{2}+6x+10-\left(3x^{2}+5x+8\right)
Use the distributive property to multiply 2 by 2x^{2}+3x+5.
4x^{2}+6x+10-3x^{2}-5x-8
To find the opposite of 3x^{2}+5x+8, find the opposite of each term.
x^{2}+6x+10-5x-8
Combine 4x^{2} and -3x^{2} to get x^{2}.
x^{2}+x+10-8
Combine 6x and -5x to get x.
x^{2}+x+2
Subtract 8 from 10 to get 2.
4x^{2}+6x+10-\left(3x^{2}+5x+8\right)
Use the distributive property to multiply 2 by 2x^{2}+3x+5.
4x^{2}+6x+10-3x^{2}-5x-8
To find the opposite of 3x^{2}+5x+8, find the opposite of each term.
x^{2}+6x+10-5x-8
Combine 4x^{2} and -3x^{2} to get x^{2}.
x^{2}+x+10-8
Combine 6x and -5x to get x.
x^{2}+x+2
Subtract 8 from 10 to get 2.