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

`(14x+21y)(6ab-3a)=84abx+126aby-42ax-63ay`

Explanation:

Given : Two expression
`(14x+21y)` and
`(6ab-3a)`

To write : A product of 2 binomials and a monomial of the given expression

Solution :

To find the product of the given expression we have to first open the parenthesis and after opening we have to multiply each term of first expression with each term of another expression to get the result.

Step 1 - Write as a product

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

Step 2- Multiply term by term

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

Step 3- Solve the expression

`84abx+126aby-42ax-63ay`

Therefore, The required product is

`(14x+21y)(6ab-3a)=84abx+126aby-42ax-63ay`