Question

Write as a product of 2 binomials and a monomial (factor out as much as possible from each binomial).

a.
(14x+21y)(6ab–3a)
b.
(4x–12x2)(16y3+12y2)

Answer 1

a) 21a(2x+3y)(2b-1)

b)

`16xy^2(1-3x)(4y+3)`

Explanation:

Monomial has one term.

Binomial is expression with two terms.

a) (14x+21y)(6ab-3a)

For 1.st bracket common factor is 7, and for second it is 3a:

7(2x+3y)3a(2b-1)

Now, multiply 7 and 3a:

21a(2x+3y)(2b-1)

b)
`(4x-12x^2)(16y^3+12y^2)`

For first bracket common factor is 4x and for second
`4y^2`:

`4x(1-3x)4y^2(4y+3)`

Just need to simplify :

`16xy^2(1-3x)(4y+3)`