Question

Apply the distributive property to the expression to write an equivalent expression. Complete the statements. 4x + 16 Find the GCF of . Now factor out the GCF by dividing each term in the expression by . 4x divided by the GCF is , and 16 divided by the GCF is . The equivalent expression is .

Answer 1

Answer:

The equivalent expression is 4(x + 4)

Step-by-step explanation:

Find the GCF of 4x + 16:

GCF means the greatest common factor. It is the greatest number that divide a number without remainder.

In this case the GCF is 4 as the common factors of 4 and 16 is 2, 4.

factor out the GCF by dividing each term in the expression by 4

4x divided by the GCF is x

and 16 divided by the GCF is  4

The equivalent expression is 4(x + 4)

Answer 2

Answer:

$4(x+4)=4x+16$

Step-by-step explanation:

a) The Greatest Common Factor, of both terms 4x and 16 is 16.

4,16|2

2,8|2

1,4|2

1,2|2

1,1| = 2*2*2*2=16

b) Let's divide each term by 4 their

4x+16

$\frac{4x}{4}=x\\\\\frac{16}{4}=4$

Placing their common divisor outside the parentheses, and inside the sum of this result:

$4(x+4)=4x+16$