Question

I need to Factor 8x3 + 125

Answer 1

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

Explanation:

`8x^(3)` + 125

`2^(3)`
`x^(3)` +
`5^(3)` [Split each term so that they all have the same exponent]

`(2x)^(3)` +
`5^(3)` [Multiply the terms with the equal exponents by multiplying their bases]

Using the equation:
`a^(3) +b^(3) =(a+b)(a^(2)-ab+b^(2) )` factor the expression. (a = 2x and b = 5)

`(2x+5)` ×
`((2x)^(2) -2x` ×
`5+5^(2) )`

(2x+5) ×
`(4x^(2) -2x` ×
`5+5^(2) )`

`(2x+5)` ×
`(4x^(2) -2x` ×
`5+5^(2) )`

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

Hope this helps! I apologize if I'm incorrect

Answer 2

149

Explanation:

8 x 3 + 125

8 times 3 = 24

24 + 125 = 149