Answer:
(2x-5)(4x^2+10x+25)
Explanation:
Factoring difference of cubes (a3−b3): (a−b)(a2+ab+b2)
Here, a is 2x because the cube root of 8 is 2 and the cube root of x3 is x, b is 5 because the cube root of 125 is 5.
Plug the numbers in:
(2x−5)((2x)2+2x⋅5+52)
(2x−5)(22x2+10x+25)
(2x−5)(4x2+10x+25)
Answer:
8x^3 can also be written as [tex](2x)^{3}[/tex].
-125 can also be written as [tex]-5^{3}[/tex].
Factoring the polynomial:
[tex](2x)^3+(-5)^3[/tex]
