Question

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

Answer 1

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

Answer 2

Answer:

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

Option D is correct.

Step-by-step 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)