Question

How do you multiply `(4x^2 – 9)(8x^2 + 3)`?

Answer 1

The expanded form will be: `32x^4 -60x^2 + 27`.

Explanation:

This problem requires an understanding of the distributive property of multiplication:
`(a + b)c = ac + bc`

Using this rule we can manipulate the polynomial as follows:
`(4x^2 – 9)(8x^2 + 3)`
`= 4x^2(8x^2 + 3) – 9(8x^2 + 3)`
`= 32x^4 + 12x^2 - 72x^2 +27`
`= 32x^4 -60x^2 + 27`