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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 1: Q.393 (page 91)

Simplify the expression by combining like terms.
$14 x^{2} - 9 x + 11 - 8 x^{2} + 8 x - 6$

Short Answer

Expert verified

The simplified expression is $6 x^{2} - x + 5$ .

Step by step solution

01

Step 1.Given information

The expression is $14 x^{2} - 9 x + 11 - 8 x^{2} + 8 x - 6$

02

Step 2.Simplify the expression

$14 x^{2} - 9 x + 11 - 8 x^{2} + 8 x - 6 = (14 x^{2} - 8 x^{2}) + (- 9 x + 8 x) + (- 6 + 11) Groupingliketerms = (6 x^{2}) + (- x) + (5) addliketerms = 6 x^{2} - x + 5$

Hence, the simplified expression is

$6 x^{2} - x + 5 .$

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Most popular questions from this chapter

In the following exercises,Perform the indicated operation. $(- 8.43) (- 57.91)$

The width of a rectangle is 6 less than the length. Letlrepresent the length of the rectangle. Write an expression
for the width of the rectangle.

For the following exercises, evaluate each expression.

$3 x^{2} - 2 x y + 4 y^{2}$ whenlocalid="1644418506893" $x = - 2, y = - 3$

Evaluate: $4 x^{2} - x y + 5 y^{2}$ when $x = - 2, y = 3$ .

In the following exercises, simplify each expression.

$\frac{180}{204}$

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