What is factor 9d^{10}e^8-100f^6g^4 ?

The solution to factor 9d^{10}e^8-100f^6g^4 is (3e^4d^5+10f^3g^2)(3e^4d^5-10f^3g^2)

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factor 9d^{10}e^8-100f^6g^4

factor

9 d^{10} e^{8} - 100 f^{6} g^{4}

(3 e^{4} d^{5} + 10 f^{3} g^{2}) (3 e^{4} d^{5} - 10 f^{3} g^{2})

Solution steps

9 d^{10} e^{8} - 100 f^{6} g^{4}

Rewrite

9 d^{10} e^{8}

(3 d^{5} e^{4})^{2}

Rewrite

100 f^{6} g^{4}

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

= (3 d^{5} 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^{5} e^{4})^{2} - (10 f^{3} g^{2})^{2} = (3 d^{5} e^{4} + 10 f^{3} g^{2}) (3 d^{5} e^{4} - 10 f^{3} g^{2})

= (3 d^{5} e^{4} + 10 f^{3} g^{2}) (3 d^{5} e^{4} - 10 f^{3} g^{2})

5 10 + 10 i

+ 22 - 9 (x + 3 y) - (x + 3 y)^{2}

3 b y + 4 a x + 12 a y + b x

sin (x^{2} - 4)

sin (x^{2} - 1)

What is factor 9d^{10}e^8-100f^6g^4 ?
The solution to factor 9d^{10}e^8-100f^6g^4 is (3e^4d^5+10f^3g^2)(3e^4d^5-10f^3g^2)