# The simplified value of the expression ( 3 x + 5 ) ( 2 x − 1 ) .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.3, Problem 25E
To determine

## To calculate: The simplified value of the expression (3x+5)(2x−1) .

Expert Solution

The value of the expression (3x+5)(2x1) is 6x2+7x5 .

### Explanation of Solution

Given information:

The expression (3x+5)(2x1) .

Formula used:

The FOIL method to multiply two polynomial expression is the sum of the products of its First terms, Outer terms, Inner terms and the Last terms which can be mathematically expressed as, (a+b)(c+d)=ac+ad+bc+bd .

To add or subtract two polynomials, combine all the like terms together and then perform the operation.

Calculation:

Consider the given expression (3x+5)(2x1) .

Recall the FOIL method to multiply two polynomial expression is the sum of the products of its First terms, Outer terms, Inner terms and the Last terms which can be mathematically expressed as, (a+b)(c+d)=ac+ad+bc+bd .

Apply it,

(3x+5)(2x1)=(3x2x)+(3x(1))+(52x)+((1)5)=6x23x+10x5

Recall that to add or subtract two polynomials, combine all the like terms together and then perform the operation.

Apply it,

So, the value of the expression will be calculated as,

(3x+5)(2x1)=6x23x+10x5=6x2+(10x3x)5=6x2+7x5

Thus, the value of the expression (3x+5)(2x1) is 6x2+7x5 .

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