Question

Volume of a cube is (x³+3x²+3x+1) cm³. What is the measure of its edge?

Answer 1

$Let \: the \: edge \: of \: a \: cube = a \: cm$

$Volume \: of \: the \:cube(V)\\ = (x^{3}+3x^{2}+3x+1)\:cm^{3}$

$\implies a^{3} = x^{3} + 3\times x^{2} \times 1 + 3 \times x\times 1 + 1^{3}$

$\implies a^{3} = ( x + 1 )^{3}$

/* By Algebraic Identity */

$\boxed{\pink{ a^{3}+3a^{2}b+3ab^{2}+b^{3} =(a+b)^{3} }}$

$\implies a = x + 1$

Therefore.,

$\red{ Measure \: of \: cube \:edge }\\\green{ = (x+1) \:cm }$

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Answer 2

Answer:

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