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5x^{2}-12x+16
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5x^{2}-12x+16
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9x^{2}-12x+4-4\left(x^{2}-3\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2\right)^{2}.
9x^{2}-12x+4-4x^{2}+12
Use the distributive property to multiply -4 by x^{2}-3.
5x^{2}-12x+4+12
Combine 9x^{2} and -4x^{2} to get 5x^{2}.
5x^{2}-12x+16
Add 4 and 12 to get 16.
9x^{2}-12x+4-4\left(x^{2}-3\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-2\right)^{2}.
9x^{2}-12x+4-4x^{2}+12
Use the distributive property to multiply -4 by x^{2}-3.
5x^{2}-12x+4+12
Combine 9x^{2} and -4x^{2} to get 5x^{2}.
5x^{2}-12x+16
Add 4 and 12 to get 16.
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