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10x^{2}+25x-26
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10x^{2}+25x-26
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9x^{2}+24x+16+\left(x+7\right)\left(x-6\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}+x-42
Use the distributive property to multiply x+7 by x-6 and combine like terms.
10x^{2}+24x+16+x-42
Combine 9x^{2} and x^{2} to get 10x^{2}.
10x^{2}+25x+16-42
Combine 24x and x to get 25x.
10x^{2}+25x-26
Subtract 42 from 16 to get -26.
9x^{2}+24x+16+\left(x+7\right)\left(x-6\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}+x-42
Use the distributive property to multiply x+7 by x-6 and combine like terms.
10x^{2}+24x+16+x-42
Combine 9x^{2} and x^{2} to get 10x^{2}.
10x^{2}+25x+16-42
Combine 24x and x to get 25x.
10x^{2}+25x-26
Subtract 42 from 16 to get -26.
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