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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.225. (page 537)

Solve the square using the binomial squares pattern.
${(5 u^{2} + 9)}^{2}$

Short Answer

Expert verified

The solution is $25 u^{4} + 90 u^{2} + 81$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(5 u^{2} + 9)}^{2}$ .

02

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

Solve it as follows:

${(5 u^{2} + 9)}^{2} = {(5 u^{2})}^{2} + 2 脳 5 u^{2} 脳 9 + {(9)}^{2} 鈬� 25 u^{4} + 90 u^{2} + 81$

03

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $25 u^{4} + 90 u^{2} + 81$ .

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