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Popular >

factor 8x^3+125

Solution

factor

8 x^{3} + 125

Solution

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

Solution steps

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)

Popular Examples

∣ 2 x - 9 ∣ \leq 13

simplify 2a^{-5}b^6*5a^2b^2 simplify

2 a^{- 5} b^{6} \cdot 5 a^{2} b^{2}

simplify (8/27)^{-2/3}simplify

(\frac{8}{27})^{- \frac{2}{3}}

(5^3-(6+4)^2)/(5^1)

\frac{5 ^{3} - ( 6 + 4 ) ^{2}}{5 ^{1}}

simplify 140*pi/(180)simplify

140 \cdot \frac{π}{180}

Frequently Asked Questions (FAQ)

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