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12x^{2}-38x+30
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12x^{2}-38x+30
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3\left(4x^{2}-12x+9\right)-\left(2x-3\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3\right)^{2}.
12x^{2}-36x+27-\left(2x-3\right)
Use the distributive property to multiply 3 by 4x^{2}-12x+9.
12x^{2}-36x+27-2x+3
To find the opposite of 2x-3, find the opposite of each term.
12x^{2}-38x+27+3
Combine -36x and -2x to get -38x.
12x^{2}-38x+30
Add 27 and 3 to get 30.
3\left(4x^{2}-12x+9\right)-\left(2x-3\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3\right)^{2}.
12x^{2}-36x+27-\left(2x-3\right)
Use the distributive property to multiply 3 by 4x^{2}-12x+9.
12x^{2}-36x+27-2x+3
To find the opposite of 2x-3, find the opposite of each term.
12x^{2}-38x+27+3
Combine -36x and -2x to get -38x.
12x^{2}-38x+30
Add 27 and 3 to get 30.
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Integration
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Limits
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