# The value of the expression ( x 3 + 6 x 2 − 4 x + 7 ) − ( 3 x 2 + 2 x − 4 ) .

### 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 17E
To determine

## To calculate: The value of the expression (x3+6x2−4x+7)−(3x2+2x−4) .

Expert Solution

The value of the expression (x3+6x24x+7)(3x2+2x4) is x3+3x26x+11 .

### Explanation of Solution

Given information:

The expression (x3+6x24x+7)(3x2+2x4) .

Formula used:

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

Calculation:

Consider the given expression (x3+6x24x+7)(3x2+2x4) .

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,

(x3+6x24x+7)(3x2+2x4)=x3+6x24x+73x22x+4=x3+(6x23x2)+(4x2x)+(7+4)=x3+3x26x+11

Thus, the value of the expression (x3+6x24x+7)(3x2+2x4) is x3+3x26x+11 .

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