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Since both terms are perfect squares, factor using the difference of squares formula, where and.
X4 16 factored. Middle School Math Solutions – Equation Calculator. Tap for more steps. Over the next few weeks, we'll be showing how Symbolab.
X4 −16 = (x2 − 4)(x2 +4) = (x + 2)(x − 2)(x2 + 4). X^4 - 16 This is the difference of two squares, which factors to (x^2 + 4) (x^2 - 4) You can't factor x^2 + 4 anymore, but x^2 - 4 is another difference of squares, which can be factored to (x + 2). Tap for more steps.
X^4-16= (x+2)(x-2)(x^2+4) Recall the factor of difference of square a^2-b^2= (a-b)(a+b) We can re-write x^4 - 16= (x^2)^2 -4^2 rArr (x^2 -4)(x^2+4) => (x^2 -2^2 )(x+4) => difference of square again rArr color(red)((x-2)(x+2)(x+4). Get the answer to Factor x^4-16 with the Cymath math problem solver - a free math equation solver and math solving app for calculus and algebra.
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