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9x^{2}+12x+4-x\left(3x+2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+2\right)^{2}.
9x^{2}+12x+4-\left(3x^{2}+2x\right)
Use the distributive property to multiply x by 3x+2.
9x^{2}+12x+4-3x^{2}-2x
To find the opposite of 3x^{2}+2x, find the opposite of each term.
6x^{2}+12x+4-2x
Combine 9x^{2} and -3x^{2} to get 6x^{2}.
6x^{2}+10x+4
Combine 12x and -2x to get 10x.
9x^{2}+12x+4-x\left(3x+2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+2\right)^{2}.
9x^{2}+12x+4-\left(3x^{2}+2x\right)
Use the distributive property to multiply x by 3x+2.
9x^{2}+12x+4-3x^{2}-2x
To find the opposite of 3x^{2}+2x, find the opposite of each term.
6x^{2}+12x+4-2x
Combine 9x^{2} and -3x^{2} to get 6x^{2}.
6x^{2}+10x+4
Combine 12x and -2x to get 10x.