Question

How do you factor completely: `14bx^2 − 7x^3 − 4b + 2x`?

Answer 1

`color(green)((2b-x)(7x^2-2)`

Explanation:

`14bx^2-7x^3-4b+2x`

We can factor this expression by making groups of two terms:
`(14bx^2-7x^3) +(-4b+2x)`

`7x^2` is common to both the terms in the first group, and `-2` is common to both the terms in the second group

`= 7x^2(2b-x) -2(2b-x)`
`2b-x` is common to both the terms now:

`color(green)((2b-x)(7x^2-2)` is the factorised form