need help wih the sum or difference of two cubes

Algebra
Tutor: None Selected Time limit: 1 Day

8x^3+125

Aug 27th, 2015

Hi there! Thank you for the opportunity to help you with your question!

There is a very specific formula for the sum of cubes; when you have 

a^3+b^3 = (a+b)(a^2-ab+b^2)

In this case, our "a" is actually (2x) [because (2x)^3 = 8x^3], and our "b" is actually 5 [because 5^3 = 125]

Now we just plug a and b into the formula above:

(2x)^3 + 125 = (2x+5)((2x)^2 -(2x)*5 +5^2) = (2x+5)(4x^2-10x+25)

Please let me know if you need any clarification. Always glad to help!
Aug 27th, 2015

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