Chapter 2: Q68. (page 74)

Simplify.
$\frac{1}{3} (15 a + 9 b) - \frac{1}{7} (28 b - 84 a)$

Short Answer

Expert verified

The required simplified expression is $17 a - b$ .

Step by step solution

– State the concept

Simplifying an algebraic expression is nothing but reducing it to the simplest form such that there are no more like terms in the simplified expression.

– List the given data

The given expression to be simplified is $\frac{1}{3} (15 a + 9 b) - \frac{1}{7} (28 b - 84 a)$

– Simplify

$\frac{1}{3} (15 a + 9 b) - \frac{1}{7} (28 b - 84 a)$ (Given expression)

$\frac{1}{3} (15 a) + \frac{1}{3} (9 b) - \frac{1}{7} (28 b) - \frac{1}{7} (- 84 a)$ (Distributive property)

$5 a + 3 b - 4 b - (- 12 a)$ (Simplify)

$5 a + 3 b - 4 b + 12 a$ (Simplify)

$(5 a + 12 a) + (3 b - 4 b)$ (Grouping like terms)

$(17 a) + (- b)$ (Simplify)

$17 a - b$ (Simplify)

So, $17 a - b$ is the required simplified expression.

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Simplify.
$\frac{1}{3} (15 a + 9 b) - \frac{1}{7} (28 b - 84 a)$

Short Answer

Step by step solution

– State the concept

– List the given data

– Simplify

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Simplify.1315a+9b-1728b-84a

Short Answer

Step by step solution

– State the concept

– List the given data

– Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Simplify.
$\frac{1}{3} (15 a + 9 b) - \frac{1}{7} (28 b - 84 a)$