4.6 - Factoring Difference of Squares

• (x + 5)(x - 5)

• (x + 25)(x - 1)

• (x - 5)(x - 5)

• (x + 10)(x - 10)

What is a perfect square trinomial?

• An expression of the form @@a^2 + 2ab + b^2 = (a + b)^2@@

• An expression that can be factored into two linear factors

• A polynomial of degree three

• An expression that is always positive

What results from multiplying conjugate binomials?

• A Difference of Squares

• A Sum of Squares

• A Product of Cubes

• A Quadratic Expression

• (4x + 8)(4x - 8)

• (4x + 4)(4x - 4)

• (2x + 8)(2x - 8)

• (8x + 4)(2x - 4)

• (x + 4)(x - 4)

• (x + 8)(x - 2)

• (x - 4)(x - 4)

• (x + 4)(x + 4)

Factor the polynomial: @@81a^6b^4-225c^{10}@@

• @@rac{(9a^3b^2-15c^5)(9a^3b^2+15c^5)}{1}@@

• @@(9a^3b^2-15c^5)(9a^3b^2+15c^5)@@

• @@(9a^3b^2-10c^5)(9a^3b^2+10c^5)@@

• @@(9a^3b^2-15c^4)(9a^3b^2+15c^4)@@

Binomials that are identical except the sign between the terms

• Conjugate Binomials

• Identical Binomials

• Complementary Binomials

• Equivalent Binomials

• (2x + 3)(2x - 3)

• (4x + 3)(x - 3)

• (2x - 3)(2x - 3)

• (4x - 9)(x + 1)

What is the significance of the difference of squares in algebra?

• It allows for the simplification of expressions and solving equations more easily.

• It is used to factor polynomials only.

• It helps in finding the roots of quadratic equations exclusively.

• It is a method for solving linear equations.

What does it mean for an expression to be factorable?

• An expression is factorable if it can be expressed as a product of two or more factors.

• An expression is factorable if it contains only prime numbers.

• An expression is factorable if it has a degree of zero.

• An expression is factorable if it can be simplified to a single term.