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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.223. (page 537)

Solve the square using the binomial squares pattern.
${(\frac{1}{8} x - \frac{1}{9} y)}^{2}$

Short Answer

Expert verified

The solution is $\frac{1}{64} x^{2} - \frac{1}{36} x y + \frac{1}{81} y^{2}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(\frac{1}{8} x - \frac{1}{9} y)}^{2}$ .

02

Step 2. Simplify the given expression by using the binomial squares pattern a-b2=a2-2ab+b2.

Solve it as follows:

${(\frac{1}{8} x - \frac{1}{9} y)}^{2} = {(\frac{1}{8} x)}^{2} - 2 脳 \frac{1}{8} x 脳 \frac{1}{9} y + {(\frac{1}{9} y)}^{2} 鈬� \frac{1}{64} x^{2} - \frac{1}{36} x y + \frac{1}{81} y^{2}$

03

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $\frac{1}{64} x^{2} - \frac{1}{36} x y + \frac{1}{81} y^{2}$ .

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