Question

Factor each expression. $$ t^{2}-25 $$

Name: Problem 27, Chapter 8: Algebra 1 Common Core
Uploaded: 2020-04-02T20:43:55-08:00
Duration: 29 s
Channel: Cory Kuzinski
Description: Factor each expression. t^2-25

   Factor each expression.
$$
t^{2}-25
$$

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 8, Problem 27

Instant Answer

Solved by Expert Cory Kuzinski

04/02/2020

Step 1

A difference of squares is an expression of the form $a^2 - b^2$, which can be factored into $(a+b)(a-b)$. Show more…

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Factor each expression. $$ t^{2}-25 $$

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Key Concepts

Difference of Squares

This is a specific factoring pattern where an expression in the form a² - b² is expressed as the product (a - b)(a + b). Recognizing and applying the difference of squares rule allows for the rapid simplification of appropriate quadratic expressions.

Factoring Algebraic Expressions

Factoring is the process of rewriting an expression as a multiplication of simpler expressions or factors. Mastery of various factoring techniques, including the difference of squares, is fundamental for solving equations and simplifying algebraic expressions.

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