SOLUTION: Factor 8x3-125 Eight x to the third power minus 125

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Question 370737: Factor
8x3-125
Eight x to the third power minus 125
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Factor 

8x^3-125 

(2x)^3 - 5^3

special factoring formulas for the sum and difference of cubes:

a^3 + b^3 = (a + b)(a^2 – ab + b^2) 

a^3 – b^3 = (a – b)(a^2 + ab + b^2) here we have a difference of cubes

(2x)^3 - 5^3

a = 2x  and  b = 5

(2x -5)(4x^2 + 10x + 25)