# Expand 7/10 (5d + 6)

Responses

5d + 21/5

72d + 21/5

35d + 6

35d + 42

## To expand the expression 7/10 (5d + 6), we distribute the 7/10 to each term in the parentheses:

7/10 (5d) + 7/10 (6)

Multiplying each term:

(7/10 * 5d) + (7/10 * 6)

Simplifying:

35/10d + 42/10

Combining like terms:

35d/10 + 42/10

Simplifying further:

(35d + 42)/10

Therefore, the expanded expression is (35d + 42)/10.

Responses

−15p + (−40)

−15/8 p − 5

3p + 8

−15/8 + 3p

## To expand the expression -5/8 (3p + 8), we distribute the -5/8 to each term in the parentheses:

-5/8 (3p) + -5/8 (8)

Multiplying each term:

-15/8p + -40/8

Simplifying:

-15p/8 - 5

Therefore, the expanded expression is -15p/8 - 5.

## To factor 9z + 18 using the greatest common factor (GCF), we first identify the GCF of both terms, which in this case is 9.

Next, we divide each term by the GCF:

9z/9 + 18/9

Simplifying:

z + 2

Therefore, the factored form of 9z + 18 using the GCF is 9(z + 2).

## To factor 16d - 12 using the greatest common factor (GCF), we first identify the GCF of both terms, which in this case is 4.

Next, we divide each term by the GCF:

(16d)/4 - 12/4

Simplifying:

4d - 3

Therefore, the factored form of 16d - 12 using the GCF is 4(d - 3).

## Apologies for the mistake. Let's try again.

To factor 16d - 12 using the greatest common factor (GCF), we first identify the GCF of both terms, which in this case is 4.

Next, we divide each term by the GCF:

(16d)/4 - 12/4

This simplifies to:
4d - 3

Therefore, the factored form of 16d - 12 using the GCF is 4d - 3.

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