Question

Factor each expression completely. $$ 64 t^{2}-16 $$

   Factor each expression completely.
$$
64 t^{2}-16
$$

Algebra 2

Prentice Hall, Basia… 1st Edition

Chapter 5, Problem 54

Instant Answer

Solved by Expert Amrita Bhasin

08/08/2019

Step 1

The difference of squares is a special case of factoring, where $a^2 - b^2 = (a - b)(a + b)$. Show more…

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Factor each expression completely. $$ 64 t^{2}-16 $$

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Key Concepts

Greatest Common Factor (GCF)

The Greatest Common Factor is the largest factor that divides two or more terms in a polynomial. Extracting the GCF simplifies expressions by factoring out common numerical or variable components, making subsequent factoring techniques easier to apply.

Difference of Squares

The Difference of Squares is a factoring technique used when an expression is structured as a^2 - b^2. This pattern can be decomposed into the product of two binomials, (a - b)(a + b), which helps simplify algebraic expressions.

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