Chapter 6: Q. 37 (page 572)

Factor by Grouping In the following exercises, factor by grouping.
$a b + 5 a + 3 b + 15$

Short Answer

Expert verified

The simplest polynomial is $(b + 5) (a + 3)$

Step by step solution

Step 1. Given

A polynomial is given as $a b + 5 a + 3 b + 15$

Step 2. Concept Used

First we have to find the GCF (group common factor). Then we will factor out it after that we will group the given polynomial.

Step 3. Calculation

A polynomial is given as $a b + 5 a + 3 b + 15$

First group the polynomial,

$a b + 5 a + 3 b + 15 = (a b + 5 a) + (3 b + 15)$

Factor out the GCF,

$= a (b + 5) + 3 (b + 5) = (b + 5) (a + 3)$

Step 4. Verification

Multiply the factors,

$(b + 5) (a + 3) = a b + 3 b + 5 a + 15$

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Factor by Grouping In the following exercises, factor by grouping.
$a b + 5 a + 3 b + 15$

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept Used

Step 3. Calculation

Step 4. Verification

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Factor by Grouping In the following exercises, factor by grouping.ab+5a+3b+15

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept Used

Step 3. Calculation

Step 4. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Logic and Functions

Discrete Mathematics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Factor by Grouping In the following exercises, factor by grouping.
$a b + 5 a + 3 b + 15$