Question

Find the coefficient of x2 in (3x2 – 5) (4 + 4x2), expand using algebraic expressions and answer

Answer 1

- 8

Explanation:

Given

(3x² - 5)(4 + 4x²)

Each term in the second factor is multiplied by each term in the first factor, that is

3x²(4 + 4x²) - 5 (4 + 4x²) ← distribute both parenthesis

= 12x² + 12
`x^(4)` - 20 - 20x² ← collect like terms

= 12
`x^(4)` - 8x² - 20

The coefficient of the x² term is - 8