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This document provides instructions on factoring polynomials using the difference of two squares formula. It begins with the objectives and a review of perfect squares. It then presents the difference of two squares formula a2 - b2 = (a - b)(a + b) and provides examples of factoring expressions like x2 - 25 and 3x2 - 75 using this formula.
The document discusses factoring the difference of two squares through examples such as (x+5) (x-5)=x^2 - 25. It explains that to factor a difference of two squares, we write the expression as the difference of two terms squared, then group the terms with the same bases and opposite signs inside parentheses.
The document discusses factoring the difference of two squares through examples such as (x+5) (x-5)=x^2 - 25. It explains that to factor a difference of two squares, we write the expression as the difference of two terms squared, then group the terms with the same bases and opposite signs inside parentheses.
Presentation on theme: "Factoring Difference of Two Squares"— Presentation transcript: 1 Factoring Difference of Two Squares 2 What Numbers are Perfect Squares?
Presentation on theme: "Factoring the Difference of Two Squares"— Presentation transcript: 1 Factoring the Difference of Two Squares Review: Multiply 1.) (x + y)(x - y) 2.) (x + 5)(x - 5) Recognizing the Difference of Two Square: 1.) Must have two terms 2.) Each term must be a perfect square 3.) Must have a MINUS sign between the terms
Factoring the Difference of Two Squares - Free download as Powerpoint Presentation (.ppt / .pptx), PDF File (.pdf), Text File (.txt) or view presentation slides online. This lesson defines key concepts for factoring polynomials that are differences of two squares.
Multiplying the sum and difference of the same two terms results in a special product called the difference of squares. Watch…… Notice – same terms, opposite Signs.
Factor the difference of two squares. 4 x 2 – 9. 2 x 2 x 3 3. . . The difference of two squares has the form a 2 – b 2 . The difference of two squares can be written as the product ( a + b )( a – b ).
It then provides examples of factoring different expressions involving the difference of two squares in three steps: 1) take the square root of each term, 2) use the results to form the sum and difference of the numbers, and 3) write the factored expression as the product of the sum and difference. Read more.
There is still a difference of two squares. The last factor is a sum of two squares, which can’t be factored using real numbers. In factoring, keep the following in mind: Always factor out the Greatest Common Factor first. Factor the quantity in parentheses using whatever method is called for.