Question

Factor by grouping. 30p2 – 1p – 20
ASAP

Answer 1

(6p-5)(5p+4) would be your answer...

Answer 2

`(6p-5)(5p+4)`

Explanation:

We have been given an expression
`30p^2-1p-20`. We are asked to factor our given expression by grouping.

First of all, we will split the middle term of our given expression into parts, whose product is
`-600` and whose sum is negative 1. We know such two numbers are
`-\text{25 and 24}`.

`30p^2-25p+24p-20`

Make two groups:

`(30p^2-25p)+(24p-20)`

Factor out GCF of each group:

`5p(6p-5)+4(6p-5)`

`(6p-5)(5p+4)`

Therefore, the factored form of our given expression is
`(6p-5)(5p+4)`.