Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q4.

Expert-verified

Precalculus Mathematics for Calculus

Found in: Page 33

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

The Special Product Formula for the “square of a sum” is ${(A + B)}^{2} =$ _ . So, ${(2 x + 3)}^{2} =$ _

The Special Product Formula for the “square of a sum” is ${(A + B)}^{2} = A^{2} + 2 A B + B^{2}$ . So, ${(2 x + 3)}^{2} = 4 x^{2} + 12 x + 9$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Apply the square of a sum formula.

If A and B are any real numbers or algebraic expressions, then

${(A + B)}^{2} = A^{2} + 2 A B + B^{2}$

Step 2. Analyze the given expression.

Given ${(2 x + 3)}^{2}$

Here $A = 2 x, B = 3$

Step 3. Find the square of the sum.

Substitute the values in the square of the sum formula to get:

$\begin{array}{l} {(2 x + 3)}^{2} = {(2 x)}^{2} + 2 \cdot 2 x \cdot 3 + 3^{2} \\ \Rightarrow {(2 x + 3)}^{2} = 4 x^{2} + 12 x + 9 \end{array}$

Most popular questions for Math Textbooks

Find the sum, difference or product.

$(5 x^{3} + 4 x^{2} - 3 x) - (x^{2} + 7 x + 2)$

Rationalize the denominator.

$\frac{y}{\sqrt{3} + \sqrt{y}}$

Explain what $4^{\frac{3}{2}}$ means, then calculate $4^{\frac{3}{2}}$ in two different ways:

${(4^{\frac{1}{2}})}^{x}$ = ______

${(4^{3})}^{x}$ = _______

Simplify the fractional expression.

$\frac{2 {(1 + x)}^{\frac{1}{2}} - x {(1 + x)}^{- \frac{1}{2}}}{x + 1}$

Write each radical expression using exponents, and each exponential expression using radicals.

$\sqrt[5]{5^{3}}$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free