Solve for y
y=\left(3x+4\right)^{2}\left(x-1\right)^{3}
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y=\left(9x^{2}+24x+16\right)\left(x-1\right)^{3}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+4\right)^{2}.
y=\left(9x^{2}+24x+16\right)\left(x^{3}-3x^{2}+3x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
y=9x^{5}-3x^{4}-29x^{3}+15x^{2}+24x-16
Use the distributive property to multiply 9x^{2}+24x+16 by x^{3}-3x^{2}+3x-1 and combine like terms.
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