Question

Factor the following:

1. 5(a+3)²- (a+3

2. p²- 6 - q · (p²- 6)²

Answer 1

1.
`(a + 3)(5a-14)`

2.
`(p^2-6)[1-q(p^2-6)]`

Explanation:

1. The first thing to do to factor the expression is to take the expression (a + 3) as a common factor with its lowest exponent.

Then the expression.
`5(a + 3)^2- (a + 3)` remains as:

`(a + 3)(5 (a + 3) -1)\\\\(a + 3)(5a +15 -1)\\\\(a + 3)(5a-14)`

2. The first thing to do to factor the expression is to take the expression
`p^2 -6` as its common factor with its lowest exponent.

Then the expression
`p^2- 6 - q(p^2- 6)^2` remains as:

`(p^2-6)[1-q (p^2-6)]`