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Step 1: Enter the expression you want to factor in the editor. The Factoring Calculator transforms complex expressions into a product of simpler factors. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions.
To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b. Rewrite the trinomial as the product of two binomials (x-u)(x-v)
Rewrite x^{2}-64 as x^{2}-8^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
Factor x^2-64. x2 − 64 x 2 - 64. Rewrite 64 64 as 82 8 2. x2 − 82 x 2 - 8 2. Since both terms are perfect squares, factor using the difference of squares formula, a2 −b2 = (a+b)(a−b) a 2 - b 2 = (a + b) (a - b) where a = x a = x and b = 8 b = 8.
Wolfram|Alpha is a great tool for factoring, expanding or simplifying polynomials. It also multiplies, divides and finds the greatest common divisors of pairs of polynomials; determines values of polynomial roots; plots polynomials; finds partial fraction decompositions; and more.
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Solve by Factoring x^2-64=0. x2 − 64 = 0 x 2 - 64 = 0. Rewrite 64 64 as 82 8 2. x2 − 82 = 0 x 2 - 8 2 = 0. Since both terms are perfect squares, factor using the difference of squares formula, a2 −b2 = (a+b)(a−b) a 2 - b 2 = (a + b) (a - b) where a = x a = x and b = 8 b = 8. (x+8)(x− 8) = 0 (x + 8) (x - 8) = 0.