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24x
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9x^{2}+12x+4-\left(3x-2\right)^{2}
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(9x^{2}-12x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2\right)^{2}.
9x^{2}+12x+4-9x^{2}+12x-4
To find the opposite of 9x^{2}-12x+4, find the opposite of each term.
12x+4+12x-4
Combine 9x^{2} and -9x^{2} to get 0.
24x+4-4
Combine 12x and 12x to get 24x.
24x
Subtract 4 from 4 to get 0.
9x^{2}+12x+4-\left(3x-2\right)^{2}
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(9x^{2}-12x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2\right)^{2}.
9x^{2}+12x+4-9x^{2}+12x-4
To find the opposite of 9x^{2}-12x+4, find the opposite of each term.
12x+4+12x-4
Combine 9x^{2} and -9x^{2} to get 0.
24x+4-4
Combine 12x and 12x to get 24x.
24x
Subtract 4 from 4 to get 0.
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