Question

what is the product of (4x + 3) and (3x² + 3x - 2)?

Explanation:

Step1: Apply distributive property

$(4x+3)(3x^2+3x-2) = 4x(3x^2+3x-2) + 3(3x^2+3x-2)$

Step2: Expand each term

$= 12x^3 + 12x^2 - 8x + 9x^2 + 9x - 6$

Step3: Combine like terms

$= 12x^3 + (12x^2+9x^2) + (-8x+9x) - 6$
$= 12x^3 + 21x^2 + x - 6$

Answer:

$12x^3 + 21x^2 + x - 6$