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Chapter 1: Problem 51

Simplify each algebraic expression. $$-8 a+(-15 a)$$

Short Answer

Expert verified
The simplified form of this algebraic expression is \( -23a \)

Step by step solution

01

Identify Like Terms

In the expression \( -8a + (-15a) \), you can see two 'like terms', \( -8a \) and \( -15a \). Like terms are terms with the same variable(s) and exponent(s). In this case, both terms are multiples of 'a'.
02

Combine Like Terms

Like terms can be combined using addition or subtraction - in this case, since both terms are negative you add the coefficients together. So divide the problem into two parts: 1. Coefficients: -8 and -15, 2. Common variable: a. Adding these coefficients together gives you \( -8 + -15 = -23 \).
03

Rewrite the Expression

Finally, rewrite the combined terms as the simplified expression. The combined term is \( -23a \), which is the simplified version of the original expression.

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