Question

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How can this expression be written another way?

32k + 24

Factor using the distributive property and the greatest common factor to write an equivalent expression.

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32k + 24 = ( )_( )

Answer 1

Answer:

8(4k+3)

Step-by-step explanation:

The greatest common factor of 32 and 24 is 8

So we take the factor 8 out which gives us 32k+24 = 8 (4k+3)

Answer 2

The equivalent expression of 32k + 24 is 8(4k) + 8(3)  

i.e 32k + 24 = 8(4k) + 8(3)

Given:

32k + 24  

To find:

Factor using the distributive property and the greatest common factor to write an equivalent expression.  

Solution:

Distributive property:

According to the distributive property of multiplication when A, B, and C are non-zero numbers then A, B, and C will follow the rule:

                     A(B + C) = AB + AC      

To rewrite the expression use the greatest common factor of 32k and 24

Here, the greatest common factor of 32k and 24 is 8

=>  32k + 24 = 8(4k + 3)

=> 32k + 24 = 8(4k) + 8(3)

Therefore,

The equivalent expression of 32k + 24 is 8(4k) + 8(3)  

i.e 32k + 24 = 8(4k) + 8(3)

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