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10x^{2}-24x+15
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10x^{2}-24x+15
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9x^{2}-24x+16+\left(x+1\right)\left(x-1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-4\right)^{2}.
9x^{2}-24x+16+x^{2}-1
Consider \left(x+1\right)\left(x-1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.
10x^{2}-24x+16-1
Combine 9x^{2} and x^{2} to get 10x^{2}.
10x^{2}-24x+15
Subtract 1 from 16 to get 15.
9x^{2}-24x+16+\left(x+1\right)\left(x-1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-4\right)^{2}.
9x^{2}-24x+16+x^{2}-1
Consider \left(x+1\right)\left(x-1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.
10x^{2}-24x+16-1
Combine 9x^{2} and x^{2} to get 10x^{2}.
10x^{2}-24x+15
Subtract 1 from 16 to get 15.
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