Question

Apply the distributive property to factor out the greatest common factor.

44
h
−
33
=

Answer 1

The answer is:

11(4h - 3)

Work/explanation:

To factor the greatest common factor, we take the expression and divide it by the GCF:

`\pmb{\sf{44h-33}}`

`\pmb{\sf{44h/11-33/11}}`

Simplify:

`\pmb{\sf{4h-3}}`

The GCF goes outside the parentheses

`\pmb{\sf{11(4h-3)}}`

Hence, the answer is 11(4h -3).

Answer 2

The greatest common factor of 44h and 33 is 11. We can factor out 11 using the distributive property:

`\begin{aligned}44h - 33 &= 11 \cdot 4h -11 \cdot 3 \\&= \boxed{11(4h - 3)}\end{aligned}`

`\therefore` The factored form of 44h - 33, after applying the distributive property to factor out the greatest common factor, is 11(4h - 3).

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