Factoring Quadratics and Differences of Squares

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Questions and Answers

What is the factored form of $x^2 - 9$?

  • $(x - 3)(x + 3)$ (correct)
  • $(x - 9)(x + 1)$
  • $(x + 3)(x + 3)$
  • $(x - 3)(x - 3)$

The expression $a^2 - b^2$ can be factored as $(a + b)(a - b)$ without any additional conditions.

True (A)

What type of quadratic expression can be factored using the difference of two squares method?

a^2 - b^2

The formula for factoring the difference of two squares is $(a - b)(a + ______)$.

<p>b</p> Signup and view all the answers

Match the following expressions with their factored forms:

<p>$x^2 - 16$ = $(x - 4)(x + 4)$ $y^2 - 25$ = $(y - 5)(y + 5)$ $z^2 - 1$ = $(z - 1)(z + 1)$ $a^2 - 36$ = $(a - 6)(a + 6)$</p> Signup and view all the answers

Flashcards

Difference of Two Squares

A method to factorize quadratic expressions in the form a² - b².

a² - b²

A standard form for difference of two squares factorization

Factorize

Write an expression as a product of its factors

Quadratic Expression

An algebraic expression of degree two.

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Perfect Squares

Numbers that can be expressed as the square of an integer.

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