Question

Which expression is equivalent to the expression below?
6r+3(3s+9r)
which one is it? SOS

Answer 1

Answer: 33r + 9s

Step-by-step explanation: First, we need to distribute

the 3 through both terms inside the set of parenthses.

Students will often multiply the 3 by the 3s but forget

to multiply the 3 by the 9r, beware of this mistake.

So we get 6r + 9s + 27r which simplifies to 33r + 9s.

Answer 2

The equivalent expression is 33r + 9s

How to determine the equivalent expression?

The expression is given as:

6r + 3(3s + 9r)

Expand the expression

6r + 9s + 27r

Collect like terms

6r + 27r + 9s

Evaluate the like terms

33r + 9s

Hence, the equivalent expression is 33r + 9s

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