Question

4x^3+20x^2+33x+18,2x+3

Answer 1

Given that

2x + 3

According to the question

$= 4x^{3} + 20x^{2}+ 33x + 18\\ \\ = 4x^3 +8x^2 +12x^2 + 24x + 9x + 18 \\ \\ = 4x^2 (x+2) + 12x(x+2) + 9(x+2) \\ \\ = (x+2)(4x^2 +12x +9) \\ \\ </p><p>= (x+2)(4x^2 +6x + 6x +9) \\ \\ </p><p>=(x+2)[2x(2x+3) + 3(2x+3)] \\ \\ </p><p>= (x+2)(2x+3)(2x+3)</p><p>$

Answer 2

Answer:

Given that

2x + 3

According to the question

$= (x + 2)(2x + 3)(2x+2)$