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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q.391 (page 91)

In the following exercises, evaluate the following expressions.
$2 x^{2} - 4 x y - 3 y^{2}$ when $x = 3, y = 1 .$

Short Answer

Expert verified

The value of the expression $= 3$

Step by step solution

01

Step 1. Given information

Expression is $2 x^{2} - 4 x y - 3 y^{2}$

and $x = 3, y = 1$

02

Step 2. Evaluate the expression

$2 x^{2} - 4 x y - 3 y^{2} = 2 {(3)}^{2} - 4 (3) (1) - 3 {(1)}^{2} Put x = 3, = 1 = 18 - 12 - 3 Simplify = 3$

Hence, the value of the expression $= 3$

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