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Popular >

factor 64m^3+125

Solution

factor

64 m^{3} + 125

Solution

(4 m + 5) (16 m^{2} - 20 m + 25)

Solution steps

64 m^{3} + 125

Apply exponent rules

= (4 m)^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

(4 m)^{3} + 5^{3} = (4 m + 5) (4^{2} m^{2} - 5 \cdot 4 m + 5^{2})

= (4 m + 5) (4^{2} m^{2} - 5 \cdot 4 m + 5^{2})

Simplify

(4 m + 5) (4^{2} m^{2} - 5 \cdot 4 m + 5^{2}) : (4 m + 5) (16 m^{2} - 20 m + 25)

= (4 m + 5) (16 m^{2} - 20 m + 25)

Popular Examples

3(2x-14)+x=15-(-9x-5)

3 (2 x - 14) + x = 15 - (- 9 x - 5)

-1/3 y+10=-2/3 y+7

- \frac{1}{3} y + 10 = - \frac{2}{3} y + 7

- 2 (5 - 4 x) < 6 x - 4

simplify (x^{1/2}*y^{1/3})^2 simplify

(x^{\frac{1}{2}} \cdot y^{\frac{1}{3}})^{2}

simplify (2pi(0.2)^{-1})/(34)simplify

\frac{2 π ( 0.2 ) ^{- 1}}{34}

Frequently Asked Questions (FAQ)

What is factor 64m^3+125 ?
The solution to factor 64m^3+125 is (4m+5)(16m^2-20m+25)