What is factor 125+8x^3 ?

The solution to factor 125+8x^3 is (2x+5)(4x^2-10x+25)

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factor 125+8x^3

factor

125 + 8 x^{3}

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

Solution steps

125 + 8 x^{3}

Write in the standard form

= 8 x^{3} + 125

Apply exponent rules

= (2 x)^{3} + 5^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(2 x)^{3} + 5^{3} = (2 x + 5) (2^{2} x^{2} - 5 \cdot 2 x + 5^{2})

= (2 x + 5) (2^{2} x^{2} - 5 \cdot 2 x + 5^{2})

Simplify

(2 x + 5) (2^{2} x^{2} - 5 \cdot 2 x + 5^{2}) : (2 x + 5) (4 x^{2} - 10 x + 25)

= (2 x + 5) (4 x^{2} - 10 x + 25)

- - 29

29 - 316

- - 65

ln (2.9)

3 \cdot + 6

What is factor 125+8x^3 ?
The solution to factor 125+8x^3 is (2x+5)(4x^2-10x+25)