Question

Find each product. $$ (3 x+4 y)(3 x-4 y) $$

   Find each product.
$$
(3 x+4 y)(3 x-4 y)
$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 5, Problem 30

Instant Answer

Solved by Expert Brandon Fox

06/23/2020

Step 1

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

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Find each product. $$ (3 x+4 y)(3 x-4 y) $$

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Key Concepts

Difference of Squares

The difference of squares is a powerful algebraic identity that states (a + b)(a - b) equals a² - b². This identity simplifies the multiplication of two binomials that have the same terms but opposite signs, reducing what might seem like a complicated expansion into a simple subtraction of two squares.

Polynomial Multiplication

Polynomial multiplication involves multiplying expressions that have more than one term, such as binomials, trinomials, etc. Understanding the distributive property in this context allows one to multiply each term in the first polynomial by every term in the second, though identities like the difference of squares can simplify this process significantly.

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