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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q.242. (page 537)

Find the product of the below expression.
${(m + n)}^{2}$

Short Answer

Expert verified

The solution is $m^{2} + 2 m n + n^{2}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(m + n)}^{2}$ .

02

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

Solve it as follows:

${(m + n)}^{2} = {(m)}^{2} + 2 \times m \times n + {(n)}^{2} \Rightarrow m^{2} + 2 m n + n^{2}$

03

Step 3. Simplified expression.

Hence, the required expression is $m^{2} + 2 m n + n^{2}$ .

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