Chapter 2: Q69. (page 62)

Simplify each expression.
$3 (5 a + 6 b) + 8 (2 a - b)$

Short Answer

Expert verified

The value of the given expression $3 (5 a + 6 b) + 8 (2 a - b)$ is $31 a + 10 b$ .

Step by step solution

– Order of operations.

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

– Given information.

The given expression is:

$3 (5 a + 6 b) + 8 (2 a - b)$

– Calculate the value by simplification.

$\begin{array}{l} 3 (5 a + 6 b) + 8 (2 a - b) = 3 (5 a) + 3 (6 b) + 8 (2 a) + 8 (- b) \\ = 15 a + 18 b + 16 a - 8 b \\ = (15 a + 16 a) + (18 b - 8 b) \\ = 31 a + 10 b \end{array}$

Thus, the value of the given expression $3 (5 a + 6 b) + 8 (2 a - b)$ is $31 a + 10 b$ .

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Simplify each expression.
$3 (5 a + 6 b) + 8 (2 a - b)$

Short Answer

Step by step solution

– Order of operations.

– Given information.

– Calculate the value by simplification.

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Simplify each expression.35a+6b+82a-b

Short Answer

Step by step solution

– Order of operations.

– Given information.

– Calculate the value by simplification.

One App. One Place for Learning.

Most popular questions from this chapter

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Simplify each expression.
$3 (5 a + 6 b) + 8 (2 a - b)$