Solve for A
A=4x\left(6-x\right)^{2}
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A=x\left(12-2x\right)^{2}
Multiply 12-2x and 12-2x to get \left(12-2x\right)^{2}.
A=x\left(144-48x+4x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(12-2x\right)^{2}.
A=144x-48x^{2}+4x^{3}
Use the distributive property to multiply x by 144-48x+4x^{2}.
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