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nobillionaireNobley

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

isyllus

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)

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