Answer:
(2x + 5) x (4x^2 - 10x + 25)
Step-by-step explanation:
[tex]8x^{3}[/tex] + 125
[tex]2^{3}[/tex][tex]x^{3}[/tex] + [tex]5^{3}[/tex] [Split each term so that they all have the same exponent]
[tex](2x)^{3}[/tex] + [tex]5^{3}[/tex] [Multiply the terms with the equal exponents by multiplying their bases]
Using the equation: [tex]a^{3} +b^{3} =(a+b)(a^{2}-ab+b^{2} )[/tex] factor the expression. (a = 2x and b = 5)
[tex](2x+5)[/tex] × [tex]((2x)^{2} -2x[/tex] × [tex]5+5^{2} )[/tex]
(2x+5) × [tex](4x^{2} -2x[/tex] × [tex]5+5^{2} )[/tex]
[tex](2x+5)[/tex] × [tex](4x^{2} -2x[/tex] × [tex]5+5^{2} )[/tex]
(2x + 5) x (4x^2 - 10x + 25)
Hope this helps! I apologize if I'm incorrect
