SOLUTION: Hello, wondering if you're able to help me factorise x-64x^3 with an explanation please. Just started A-level maths and not sure how to do it yet. Thank you

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hello, wondering if you're able to help me factorise x-64x^3 with an explanation please. Just started A-level maths and not sure how to do it yet. Thank you       Log On


   



Question 1093004: Hello, wondering if you're able to help me factorise x-64x^3 with an explanation please. Just started A-level maths and not sure how to do it yet.
Thank you

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
x+-+64x%5E3 = x%2A%281-64x%5E2%29 =   (  apply the formula a%5E2+-+b%5E2 = (a+b)*(a-b) to get )

= x%2A%281%2B8x%29%2A%281-8x%29.

Answer. x+-+64x%5E3 = x%2A%281%2B8x%29%2A%281-8x%29.

Solved.


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The shortcut quadratic multiplication formulas:


1. The square of the sum formula is                 %28a+%2B+b%29%5E2+=+a%5E2+%2B+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the sum formula in this site.


2. The square of the difference formula is     %28a+-+b%29%5E2+=+a%5E2+-+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the difference formula in this site.


3. The difference of squares formula is       a%5E2+-+b%5E2+=+%28a+%2B+b%29%2A%28a-+b%29.
      For details and examples of applications of this formula see the lesson The difference of squares formula in this site.



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