What is factor 9d^2e^8-100f^6g^4 ?

The solution to factor 9d^2e^8-100f^6g^4 is (3e^4d+10f^3g^2)(3e^4d-10f^3g^2)

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factor 9d^2e^8-100f^6g^4

factor

9 d^{2} e^{8} - 100 f^{6} g^{4}

(3 e^{4} d + 10 f^{3} g^{2}) (3 e^{4} d - 10 f^{3} g^{2})

Solution steps

9 d^{2} e^{8} - 100 f^{6} g^{4}

Rewrite

9 d^{2} e^{8}

(3 d e^{4})^{2}

Rewrite

100 f^{6} g^{4}

(10 f^{3} g^{2})^{2}

= (3 d e^{4})^{2} - (10 f^{3} g^{2})^{2}

Apply Difference of Two Squares Formula:

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

(3 d e^{4})^{2} - (10 f^{3} g^{2})^{2} = (3 d e^{4} + 10 f^{3} g^{2}) (3 d e^{4} - 10 f^{3} g^{2})

= (3 d e^{4} + 10 f^{3} g^{2}) (3 d e^{4} - 10 f^{3} g^{2})

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

\frac{- 1}{2}

7 x y + 28 x^{3} + y + 4 x^{3}

w^{6 n + 12} - z^{6} y^{18}

e^{x + y} d x + e^{2 x - 3 y}

What is factor 9d^2e^8-100f^6g^4 ?
The solution to factor 9d^2e^8-100f^6g^4 is (3e^4d+10f^3g^2)(3e^4d-10f^3g^2)