Question

Select the factors of 10ax 5bx − 8ay − 4by.

a. (2a 4y)(5x −
b.
b. (2a − 4y)(5x
b.
c. (2a −
b.(5x 4y)
d. (2a
b.(5x − 4y)

Answer 1

Factors are (2a+b) and (5x-4y)

Option D is correct.

Explanation:

Given:
`10ax+5bx-8ay-4by`

Here we are four term to factor it.

First we make two group and factor each group.

`(10ax+5bx) + (-8ay-4by)`

`\text{Group 1: }10ax+5bx`

Taking 5x common from both term

`10ax+5bx\Rightarrow 5x(2a+b)`

`\text{Group 2: }-8ay-4by`

Taking -4y common from both term

`-8ay-4by\Rightarrow -4y(2a+b)`

Factor is:

`\Rightarrow 5x(2a+b)-4y(2a+b)`

`\Rightarrow (2a+b)(5x-4y)`

Hence, Factors are (2a+b) and (5x-4y)

Answer 2

10ax + 5bx - 8ay - 4by = 5x(2a + b) - 4y(2a + b) = (5x - 4y)(2a + b)
option d is the correct answer.