Question

Write as a product of 2 binomials and a monomial (factor out as much as possible from each binomial). (14x+21y)(6ab–3a)

Answer 1

Answer: The answer is
`21a(2x+3y)(2b-1).`

Step-by-step explanation: Given expression is as follows

`E=(14x+21y)(6ab-3a).`

We are to write the above expression "E" as a product of two binomials and a monomial.

A monomial is an expression with a single term and a binomial is an expression with two terms.

So, let us start as follows -

`E\\\\=(14x+21y)(6ab-3a)\\\\=7(2x+3y)3a(2b-1)\\\\=21a(2x+3y)(2b-1).`

Here,

`21a~\textup{is a monomial and}~(2x+3y),~(2b-1)~\textup{are binomials}.`

Thus, the required factorisation is

`E=21a(2x+3y)(2b-1).`