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How do you factor the difference of two squares x8-5x2? - Answers
[ x8 - 5x2 ] is not the difference of two squares. [ 5x2 ] is not really a square.If you do have the difference of two squares, then:-- Take the square roots of the two terms.-- The factored form is (sum of the square roots) times (difference of the square roots)Example:Let's use . . . [ x8 - 9x2 ] .The square roots of the terms are . . . [ x4 ] and [ 3x ] .The factored form is (x4 + 3x) (x4- 3x).Go ahead and FOIL those factors out and you'll see.With this particular example, you could also continue, andfactor 'x' out of each of these factors, to wind up withx2 (x3 + 3) (x3 - 3)
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How do you factor the difference of two squares x8-5x2? - Answers
[ x8 - 5x2 ] is not the difference of two squares. [ 5x2 ] is not really a square.If you do have the difference of two squares, then:-- Take the square roots of the two terms.-- The factored form is (sum of the square roots) times (difference of the square roots)Example:Let's use . . . [ x8 - 9x2 ] .The square roots of the terms are . . . [ x4 ] and [ 3x ] .The factored form is (x4 + 3x) (x4- 3x).Go ahead and FOIL those factors out and you'll see.With this particular example, you could also continue, andfactor 'x' out of each of these factors, to wind up withx2 (x3 + 3) (x3 - 3)
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How do you factor the difference of two squares x8-5x2? - Answers
[ x8 - 5x2 ] is not the difference of two squares. [ 5x2 ] is not really a square.If you do have the difference of two squares, then:-- Take the square roots of the two terms.-- The factored form is (sum of the square roots) times (difference of the square roots)Example:Let's use . . . [ x8 - 9x2 ] .The square roots of the terms are . . . [ x4 ] and [ 3x ] .The factored form is (x4 + 3x) (x4- 3x).Go ahead and FOIL those factors out and you'll see.With this particular example, you could also continue, andfactor 'x' out of each of these factors, to wind up withx2 (x3 + 3) (x3 - 3)
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