Rewrite an expression using the difference of two squares

Rewrite an expression using the difference of two squares

In this lesson you will learn to rewrite an expression by factoring a difference of two squares.

ADDITIONAL MATERIALS

STANDARDS

CCSS.HSA-SSE.A.2 Use the structure of an expression to identify ways to rewrite it. For example, see 𝘹⁴ – 𝘺⁴ as (𝘹²)² – (𝘺²)², thus recognizing it as a difference of squares that can be factored as (𝘹² – 𝘺²)(𝘹² + 𝘺²).

TEKS.A1.11.B simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

TEKS.A1.12.E solve mathematic and scientific formulas, and other literal equations, for a specified variable.

IN.AI.RNE.5 Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms.

VA.EO.AII.1.c factor polynomials completely in one or two variables.

VA.EO.A.2.a applying the laws of exponents to perform operations on expressions;

FL.MAFS.912.A-SSE.1.2 Use the structure of an expression to identify ways to rewrite it. For example, see 𝘹⁴ – 𝘺⁴ as (𝘹²)² – (𝘺²)², thus recognizing it as a difference of squares that can be factored as (𝘹² – 𝘺²)(𝘹² + 𝘺²).