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Chapter 1: Problem 63

Simplify each algebraic expression. $$7(3 a+2 b)+5(4 a+2 b)$$

Short Answer

Expert verified
The simplified form of the algebraic expression \(7(3a+2b)+5(4a+2b)\) is \(41a + 24b\).

Step by step solution

01

Expand expressions

We use the distributive property to expand the expressions. So, for \(7(3a+2b)+5(4a+2b)\), expanding it gives \(21a + 14b + 20a + 10b\).
02

Combine like terms

In the expanded form, terms \(21a\) and \(20a\) and terms \(14b\) and \(10b\) are alike. Combining them gives \(41a + 24b\).

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