Question

Find the value of : (2x+1)³

Answer 1

Answer:

$8x^3+12x^2+6x+1$

Explanation:

We know that

$(a+b)^3 = a^3+b^3+3ab(a+b)$

Substituting 2x as a and 1 as b,

$(2x)^3+1^3+3(2x)(1)(2x+1)$

$8x^3+1+6x(2x+1)$

$8x^3+1+12x^2+6x$

Thus, $8x^3+12x^2+6x+1$