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Chapter 0: Problem 42

Find each product. $$(x+5)^{2}$$

Short Answer

Expert verified
The product of \((x+5)^{2}\) results in \(x^{2} + 10x + 25\)

Step by step solution

01

Apply the Square Binomial Formula

Applying the square of a binomial formula \((a+b)^2 = a^{2} + 2ab + b^{2}\) where a = x and b = 5, we get: \((x+5)^{2} = x^{2} + 2*x*5 + 5^{2}\)
02

Evaluate the Product and Squares

Multiply and square the constant values. We get: \(x^{2} + 2*5*x + 25 = x^{2} + 10x + 25\)

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Most popular questions from this chapter

Simplify each expression. Assume that all variables represent positive numbers. $$ \left(49 x^{-2} y^{4}\right)^{-\frac{1}{2}}\left(x y^{\frac{1}{2}}\right) $$

Explain how to factor \(3 x^{2}+10 x+8\)

Evaluate each expression without using a calculator. $$16^{-\frac{5}{2}}$$

Simplify using properties of exponents. $$\left(7 x^{\frac{1}{3}}\right)\left(2 x^{\frac{1}{4}}\right)$$

Evaluate each expression without using a calculator. $$8^{\frac{2}{3}}$$
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