Factoring a Difference of Squares Videos - Free Educational Videos for Students in K - 12

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Example 6: Factoring a difference of squares with two variables | Algebra II | Khan Academy


By Khan Academy

Khan Academy presents Example 2: Factoring difference of squares, an educational video resource on math.

Factor differences of squares


By Khan Academy

Sal factors 45x^2-125 as 5(3x+5)(3x-5).

Factor differences of squares


By Khan Academy

Sal finds the binomial factor shared by m^2-4m-45 and 6m^2-150.

Factor differences of squares


By Khan Academy

Sal analyzes the factorization of 3y^3-100y as 4y(My+g)(My-g) to find the possible values for the missing coefficient g.

Factor differences of squares


By Khan Academy

Sal analyzes two different factorizations of 16x^2-64 and determines whether they are correct.

Sum of Two Cubes | MathHelp.com


By MathHelp.com

In this example, we’re asked to factor x cubed – 8. Notice that x cubed is a perfect cube, and 8 is a perfect cube, because 8 is 2 times 2 times 2, or 2 cubed. So we have the difference of two cubes. To factor the difference of two cubes, we use the following formula: a cubed – b cubed can be factored as parentheses a – b times parentheses a squared + ab + b squared. And in this problem, since “a” cubed is represented by x cubed, the value of a is x, and since b cubed is represented by 8, the value of b is 2. So, plugging x and 2 into the formula for a and b, we have parentheses x – 2 times parentheses x squared + x times 2 + 2 squared. And simplifying inside the second set of parentheses, we have parentheses x – 2 times parentheses x squared + 2x + 4, which is our final answer.

Example 4: Factoring quadratics as a perfect square of a difference: (a-b)^2 | Khan Academy


By Khan Academy

u12_l2_t2_we1 Factoring perfect square trinomials. All Khan Academy content is available for free at www.khanacademy.org

Example 1: Factoring a difference of squares with two variables | Algebra II | Khan Academy


By Khan Academy

"Differences of squares", binomials of the form (x^2-y^2), are incredibly important on the SAT and ACT. These are guaranteed to show up on your test. Luckily, the pattern is very easily learned and mastered.