Mathematics: Item 4 Factor the expression using the GCF. The expression 36a+16b factored using the GCF Item 4 Factor the expression using the GCF. The expression 36a+16b factored using the GCF

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Item 4 Factor the expression using the GCF. The

ellie55991

29.11.2020

Given:

The expression is

36a+16b

To find:

The factor of the given expression using the GCF.

Solution:

The factor form of 36a and 16b are

$36a=2\times 2\times 3\times 3\times a$

$16b=2\times 2\times 2\times 2\times b$

So, GCF of 36a and 16b is

$GCF(36a,16b)=2\times 2$

GCF(36a,16b)=4

We have,

36a+16b

Taking GCF common, i.e., 4, we get

4(9a+4b)

Therefore, the factored form of given expression is 4(9a+4b) .

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