What is factor 125x^9+64y^{12}z^{15} ?

The solution to factor 125x^9+64y^{12}z^{15} is (5x^3+4y^4z^5)(25x^6-20x^3y^4z^5+16y^8z^{10})

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factor 125x^9+64y^{12}z^{15}

factor

125 x^{9} + 64 y^{12} z^{15}

(5 x^{3} + 4 y^{4} z^{5}) (25 x^{6} - 20 x^{3} y^{4} z^{5} + 16 y^{8} z^{10})

Solution steps

125 x^{9} + 64 y^{12} z^{15}

Rewrite

125 x^{9}

(5 x^{3})^{3}

Rewrite

64 y^{12} z^{15}

(2^{2} y^{4} z^{5})^{3}

= (5 x^{3})^{3} + (2^{2} y^{4} z^{5})^{3}

Apply Sum of Cubes Formula:

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

(5 x^{3})^{3} + (2^{2} y^{4} z^{5})^{3} = (5 x^{3} + 2^{2} y^{4} z^{5}) ((5 x^{3})^{2} - 5 x^{3} 2^{2} y^{4} z^{5} + (2^{2} y^{4} z^{5})^{2})

= (5 x^{3} + 2^{2} y^{4} z^{5}) ((5 x^{3})^{2} - 5 x^{3} 2^{2} y^{4} z^{5} + (2^{2} y^{4} z^{5})^{2})

Simplify

(5 x^{3} + 2^{2} y^{4} z^{5}) ((5 x^{3})^{2} - 5 x^{3} \cdot 2^{2} y^{4} z^{5} + (2^{2} y^{4} z^{5})^{2}) : (5 x^{3} + 4 y^{4} z^{5}) (25 x^{6} - 20 x^{3} y^{4} z^{5} + 16 y^{8} z^{10})

= (5 x^{3} + 4 y^{4} z^{5}) (25 x^{6} - 20 x^{3} y^{4} z^{5} + 16 y^{8} z^{10})

\frac{- 3}{3}

\frac{2}{3} (x - 8) = \frac{1}{4} (x + 2)

x^{2} - \frac{x ^{2}}{36} = 0.1798

∣ x + 1 ∣ = 2

9 x + 5 + x - 2 = 23

What is factor 125x^9+64y^{12}z^{15} ?
The solution to factor 125x^9+64y^{12}z^{15} is (5x^3+4y^4z^5)(25x^6-20x^3y^4z^5+16y^8z^{10})