Question

(10x³ + 15x²)( + 4x + 6)

Explanation:

Step1: Factor out common terms

Factor $5x^2$ from first polynomial, $2$ from second:
$5x^2(2x + 3) + 2(2x + 3)$

Step2: Factor out shared binomial term

Factor $(2x + 3)$ from both terms:
$(2x + 3)(5x^2 + 2)$

Step3: Verify expansion (optional check)

Expand to confirm:
$(2x)(5x^2) + (2x)(2) + 3(5x^2) + 3(2) = 10x^3 + 4x + 15x^2 + 6 = 10x^3 + 15x^2 + 4x + 6$

Answer:

$(2x + 3)(5x^2 + 2)$