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Nata [24]
3 years ago
12

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

Mathematics
2 answers:
Yakvenalex [24]3 years ago
4 0
10ax + 5bx - 8ay - 4by = 5x(2a + b) - 4y(2a + b) = (5x - 4y)(2a + b)
option d is the correct answer.
PolarNik [594]3 years ago
3 0

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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