Question

Which is a correct expansion of (2x+3)(2x^2-5)

A. 2x•2x^2+2x•(-5)+3•2x+3•(-5)
B. 2x•2x^2+2x•(-5)+3•2x^2+3•(-5)
C. 2x•2x^2+3•2x^2+2x^2•(-5)+3•(-5)

Answer 1

Use distributive property.

2x * 2x^2
2x * -5
3 * 2x^2
3 * -5

2x * 2x^2 + 2x * -5 + 3 * 2x^2 + 3 * -5
Hope this helps!

Answer 2

Answer: B

2X.2X^2+2X.(-5)+3.2X^2+3.(-5)

Explanation:

(2X+3) (2X^2-5)

Cross multiply (2X+3) by (2X^2-5)

2X*2X^2+

2X*(-5)+

3*2X^2+

3*(-5)

= 2X*2X^2+2X*(-5)+3*2X^2+3*(-5)