How do you simplify ${(3 x - 7)}^{3}$ $(3x-7)^3$ ?

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How do you simplify ${(3 x - 7)}^{3}$ $(3x-7)^3$ ?

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Answer 1 · 2017-05-23T19:57:53

$27 x^{3} - 189 x^{2} + 441 x - 343$ $27x^3-189x^2+441x-343$

Explanation:

I'm not sure you can simplify this expression. It seems to be in simplest form. However, if the question had been to expand this expression then here are the steps:

$(3 x - 7) (3 x - 7) (3 x - 7)$ $(3x-7)(3x-7)(3x-7)$

Expand the first two terms using FOIL

$(9 x^{2} - 42 x + 49) (3 x - 7)$ $(9x^2-42x+49)(3x-7)$

Multiply the $(3 x - 7)$ $(3x-7)$ term through

$9 x^{2} (3 x - 7) - 42 x (3 x - 7) + 49 (3 x - 7)$ $9x^2(3x-7)-42x(3x-7)+49(3x-7)$

Simplify

$27 x^{3} - 63 x^{2} - 126 x^{2} + 294 x + 147 x - 343$ $27x^3-63x^2-126x^2+294x+147x-343$

Combine like terms

$27 x^{3} - 189 x^{2} + 441 x - 343$ $27x^3-189x^2+441x-343$

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How do you simplify ${(3 x - 7)}^{3}$ $(3x-7)^3$ ?

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How do you simplify ${(3 x - 7)}^{3}$ $(3x-7)^3$ ?