Question about SoftMath Algebrator - Algebra Homework Solver (689076614429)

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Difference of two cube solution and formula




512x^6-1/216

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512x^6 -1/216 can be factored to (8x^2 - 1/6)^3

Proof

(8x^2 - 1/6)(8x^2 - 1/6) = 64x^4+ 1/36

(64x^4+ 1/36)(8x^2 - 1/6) = 512x^6 - 1/216

Hope this helps

Good luck Loringh

Posted on Oct 18, 2008

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What formulas contain both a rational number and an irrational number


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It's not clear if the volume stated is the volume of the metal in the pipe or the volume of air inside the pipe, so I will solve it both ways:
If volume of 176cc is of the air inside, the formula for this volume is 14 * pi * IR *IR
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If volume of 176cc is of the iron in the pipe, the formula for that volume is the difference between the volume of the outside of the pipe and the volume of the inside of the pipe, or
(14 * pi * OR * OR) - (14 * pi * IR * IR) = 176 ; factoring
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