Question

Find each product. $$ \left(9 y^{2}-2\right)\left(9 y^{2}+2\right) $$

   Find each product.
$$
\left(9 y^{2}-2\right)\left(9 y^{2}+2\right)
$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 5, Problem 34

Instant Answer

Solved by Expert Brandon Fox

06/23/2020

Step 1

The formula for the difference of squares is $(a^2 - b^2) = (a+b)(a-b)$. Show more…

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Find each product. $$ \left(9 y^{2}-2\right)\left(9 y^{2}+2\right) $$

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Key Concepts

Polynomial Multiplication

This concept involves applying the distributive property to multiply each term in one polynomial by each term in the other. It is fundamental for simplifying algebraic expressions and combining like terms after multiplication.

Difference of Squares

This concept focuses on the special product (a - b)(a + b) which simplifies to a² - b². Recognizing and applying the difference of squares formula allows for quick simplification of expressions involving conjugate pairs.

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