Factor Difference of Squares Special Products

What special product is:

(x + y)(x - y) = x² - y² ?

• Product of the Sum and Difference of Two Squares

• Quotient of the Sum and Difference of Two Squares

• Square of Binomial

• Product of Two Trinomials

If (2x + 3y)(2x - 3y) = 4x² - 9y, what is
(6b + 9c)(6b - 9c) ?

• 36b² - 81c²

• 36b² + 81c²

• 12b² - 18c²

• 12b - 18c

Why are Special Products very important in Algebra?

• Because they are unsual products that has mysteries

• Because they are techniques that make it easier to solve product of polynomials

• Because they make mathematics more complex

• Because they are methods to apply the Laws of Exponents, making it easier to solve

In the product of the sum and difference of two squares, what are the factors of 25e⁴ - 81f² ?

• (5e + 8f)(5e - 8f)

• (5e² - 7f)(5e² + 7f)

• (5e² + 9f)(5e² - 9f)

• (5e + 9f)(5e - 9f)

4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

B. P5 - Because ​ (a)   is not a difference of squares, but ​ (b)   = ​ (c)   You can use the pattern for factoring a difference of squares to factor​ (d)   .

Factor.

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

(7r-6)(7r+6)

• 49r²+36

• 49r²-36

• 49r²+84r+36

• 49r²+42r+36

(u-5v)(u+5v)

• u²-25v²

• u²+25v²

• u²-10uv+25v²

• u²+10uv+25v²