Question

Expand each expression. $$ (3 h-1)^{2} $$

   Expand each expression. 
$$
(3 h-1)^{2}
$$

Impact Mathematics Algebra and More

Impact Mathematics Algebra and More

McGraw Hill 1st Edition

Chapter 7, Problem 30

Instant Answer

Solved by Expert Sriram Soundarrajan

07/03/2020

Step 1

We can use the formula for the square of a binomial to expand this expression. The formula is $(a-b)^2 = a^2 - 2ab + b^2$. Show more…

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Expand each expression. $$ (3 h-1)^{2} $$

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Key Concepts

Square of a Binomial

This concept involves the formula for squaring a binomial expression, which states that (a - b)² equals a² - 2ab + b². It provides a shortcut to expand expressions without individually multiplying each term, making the process more efficient and reducing the chance of error.

Distributive Property

The distributive property is a fundamental property of algebra which states that a(b + c) equals ab + ac. This property is essential when expanding binomials, as it allows each term in one parenthesis to be multiplied by every term in the other, ensuring a correct and complete expansion.

FOIL Method

The FOIL method is a specific technique used to multiply two binomials. FOIL stands for First, Outer, Inner, Last, referring to the order in which pairs of terms are multiplied. By ensuring all possible products are considered, the FOIL method provides a systematic approach to expanding and simplifying binomial expressions.

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