Question

Which property explains why these two expressions are equal? 5(g + h) = 5g + 5h A) associative B) commutative C) distributive D) inverse

Answer 1

distributive, duh

associative: a+(b+c)=(a+b)+c
commutative: a+b=b+a
distributive: a(b+c)=ab+ac
inverse: I think it is a times 1/a=1, doesn't matter

answer is C

Answer 2

The property that explains why these two expressions are equal is the distributive property. Option C is correct.

Given that:

• 5(g+ h) = 5g + 5h is an example of a distributive property

A distributive property takes the form of distributive law where each algebraic expression is an equal variable.

i.e.

5(g+h) = 5g + 5h

An associative property simply means a rearrangement of algebraic terms in the bracket which doesn't affect the solution of the algebraic expression.

e.g

x + (y+z) = (x+y) + z

So, option A is not correct.

A commutative property means the addition or multiplication of variables by just changing their order without the result being changed.

e.g.

x + y = y + x

So, option B is incorrect.

Learn more about distributive property here:

https://brainly.com/question/5637942?referrer=searchResults