Question

Given functions
`f(x) = 2x + 4` and
`g(x) = 4x² + 2x`, what is
`(x)` after simplifying?

a)
`8x³ + 20x² + 16x`

b)
`8x³ + 12x² + 8x`

c)
`8x³ + 16x² + 12x`

d)
`8x³ + 20x² + 12x`

Answer 1

The simplified form of the expression is 8x³ + 20x² + 12x.

Step-by-step explanation:

To find the simplified form of the expression, we need to substitute the functions f(x) and g(x) into the given expression and simplify. So, substituting the functions, we have:

2(2x + 4) + 4(2x² + 2x) = 4x + 8 + 8x² + 8x = 8x³ + 20x² + 12x

Therefore, the simplified form of the expression is 8x³ + 20x² + 12x.