A] (x+3)^2+(x 3)^3 =x^3+3^3+3× x× 3(x+3)+x^3 3^3 3× x× 3(x 3) =2x^3+9x(x+3) 9x(x 3) =2x^3+9x^2+27 9x^2+27 =2x^3+54 ...

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Integration by Parts

Simplify x+3...

Question

Simplify
$(x + 3)^{3} + (x - 3)^{3}$

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Solution

A] $(x + 3)^{2} + (x - 3)^{3}$
$= x^{3} + 3^{3} + 3 \times x \times 3 (x + 3) + x^{3} - 3^{3} - 3 \times x \times 3 (x - 3)$
$= 2 x^{3} + 9 x (x + 3) - 9 x (x - 3)$
$= 2 x^{3} + 9 x^{2} + 27 - 9 x^{2} + 27$
$= 2 x^{3} + 54$

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