volume_mute

Simplify the following algebraic expression

publish date2023/06/07 00:25:00 GMT+10

6a2 + 54a - 4a - 36

volume_mute

Correct Answer

$6a^2+50a-36$

Explanation

Strategy

First, we will identify any like terms in the expression.  Then we will use the distributive property in reverse to combine them.

WHY

To simplify an expression we use properties of real numbers to write an equivalent expression in simpler form.

Solution

We can combine the like terms that involve the variable a

6a2 + 54a - 4a - 36 = 6a2 + 50a -36

Think: (54 - 4)a = 50a

Reference

Mathematics for college students


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