Question

The expression 2x(3x^2+4) can be simplified into which of the following?

a. 6x^3+4

b. 5x^3+6x

c. 6x^2+8x

d. 6x^3+8x

Answer 1

`\large\boxed{d.\ 6x^3+8x}`

Explanation:

`2x(3x^2+4)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(2x)(3x^2)+(2x)(4)\\\\=6x^3+8x`