Simplify: (4x + 6)(6x2 - 5x - 3)
A. 24x3 + 16x2 - 18x - 18
B. 24x3 + 16x2 - 42x - 18
C. 24x3 + 56x2 - 42x - 18
D. 24x3 + 56x2 + 18x - 18

Question

Simplify: (4x + 6)(6x2 - 5x - 3)
	A. 	24x3 + 16x2 - 18x - 18
	B. 	24x3 + 16x2 - 42x - 18
	C. 	24x3 + 56x2 - 42x - 18
	D. 	24x3 + 56x2 + 18x - 18

masumanwar · Answer

Most probably  B as 36 -20=16 and 12 +30=42 for x square and x coefficients

jim_thompson5910 · Answer

Use the distributive property twice to get this


(4x + 6)(6x^2 - 5x - 3)


4x(6x^2 - 5x - 3) + 6(6x^2 - 5x - 3)


4x(6x^2) + 4x(-5x) + 4x(-3) + 6(6x^2) + 6(-5x) + 6(-3)


24x^3 - 20x^2 - 12x + 36x^2 - 30x - 18


24x^3 + 16x^2 - 42x - 18