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9x^{2}+12x+4-\left(6x^{2}+5x\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+2\right)^{2}.
9x^{2}+12x+4-6x^{2}-5x
To find the opposite of 6x^{2}+5x, find the opposite of each term.
3x^{2}+12x+4-5x
Combine 9x^{2} and -6x^{2} to get 3x^{2}.
3x^{2}+7x+4
Combine 12x and -5x to get 7x.
9x^{2}+12x+4-\left(6x^{2}+5x\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+2\right)^{2}.
9x^{2}+12x+4-6x^{2}-5x
To find the opposite of 6x^{2}+5x, find the opposite of each term.
3x^{2}+12x+4-5x
Combine 9x^{2} and -6x^{2} to get 3x^{2}.
3x^{2}+7x+4
Combine 12x and -5x to get 7x.