Question

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

Answer 1

$(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)$

Solution:

Given that,

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

We have to factor out terms and write as a product of 2 binomials and monomial

A monomial is a mathematical expression with only one term, while a binomial is a mathematical expression with two terms.

From given expression,

$(14x+21y)(6ab-3a) = (14x + 21y)(3 \times 2ab -3a)$

3 and a are common factors in second bracket

$(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)$

Hence, the product of two binomial is written in two binomial and a monomial