Question

What is the value of (3q+2)^3

Answer 1

Step-by-step explanation:

Use the algebraic identity:

$(x + y)^{3} = x ^{3} + {y}^{3} + 3 {x}^{2} y + 3x {y}^{2}$

$= (3q )^{3} + {2}^{3} + 3 \times {3q}^{2} \times 2 + 3 \times 3q \times {2}^{2}$

$= 27 {q}^{3} + 8 + 18 {q}^{2} + 36q$

$= 27 {q}^{3} + 18 {q}^{2} + 36q + 8$