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Video: Simplifying Algebraic Expressions

Rhodri Jones

Simplify (10 + 4𝑥) + (6 + 5𝑥).

00:60

Video Transcript

Simplify 10 plus four π‘₯ plus six plus five π‘₯.

As there are no numbers in front of either of our parentheses and all the signs are positive, we can remove the parentheses, leaving us with an expression of 10 plus four π‘₯ plus six plus five π‘₯. We then need to group the like terms. 10 plus six is equal to 16. So the first term in our answer is 16. Grouping the π‘₯ terms, four π‘₯ plus five π‘₯ is equal to nine π‘₯.

Therefore, the simplified version of 10 plus four π‘₯ plus six plus five π‘₯ is 16 plus nine π‘₯. This could also be written as nine π‘₯ plus 16 as addition is commutative.