Solve for V
V=4x\left(7-x\right)^{2}
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V=\left(14-2x\right)^{2}x
Multiply 14-2x and 14-2x to get \left(14-2x\right)^{2}.
V=\left(196-56x+4x^{2}\right)x
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(14-2x\right)^{2}.
V=196x-56x^{2}+4x^{3}
Use the distributive property to multiply 196-56x+4x^{2} by x.
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