## Question

###### How do you factor #8x^3-125#?

How do you factor #8x^3-125#?

## Answers

#(2x-5)(4x^2+10x+25)# ## Explanation:

Factoring difference of cubes (

#a^3-b^3# ):#(a-b)(a^2+ab+b^2)# Here,

#a# is#2x# because the cube root of 8 is 2 and the cube root of#x^3# is#x# ,#b# is 5 because the cube root of 125 is 5.Plug the numbers in:

#(2x-5)((2x)^2+2x*5+5^2)#

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

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

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