What is factor 36a^2b^4-144d^8e^{10} ?

The solution to factor 36a^2b^4-144d^8e^{10} is 36(ab^2+2e^5d^4)(ab^2-2e^5d^4)

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factor 36a^2b^4-144d^8e^{10}

factor

36 a^{2} b^{4} - 144 d^{8} e^{10}

36 (a b^{2} + 2 e^{5} d^{4}) (a b^{2} - 2 e^{5} d^{4})

Solution steps

36 a^{2} b^{4} - 144 d^{8} e^{10}

Rewrite

36 a^{2} b^{4}

(6 a b^{2})^{2}

Rewrite

144 d^{8} e^{10}

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

= (6 a b^{2})^{2} - (12 d^{4} e^{5})^{2}

Apply Difference of Two Squares Formula:

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

(6 a b^{2})^{2} - (12 d^{4} e^{5})^{2} = (6 a b^{2} + 12 d^{4} e^{5}) (6 a b^{2} - 12 d^{4} e^{5})

= (6 a b^{2} + 12 d^{4} e^{5}) (6 a b^{2} - 12 d^{4} e^{5})

Factor

6 a b^{2} + 12 d^{4} e^{5} : 6 (a b^{2} + 2 d^{4} e^{5})

= 6 (a b^{2} + 2 e^{5} d^{4}) (6 a b^{2} - 12 e^{5} d^{4})

Factor

6 a b^{2} - 12 d^{4} e^{5} : 6 (a b^{2} - 2 d^{4} e^{5})

= 6 (a b^{2} + 2 d^{4} e^{5}) \cdot 6 (a b^{2} - 2 d^{4} e^{5})

Refine

= 36 (a b^{2} + 2 e^{5} d^{4}) (a b^{2} - 2 e^{5} d^{4})

3^{x} + 6^{x}

\frac{4 - x}{x ^{2} - 16}

6 a c + 8 a + 3 b c + 4 b

\frac{d}{d y} ((x) (x y^{2}))

- cos (2 a - 4 θ) sin (2 a - 4 θ)

What is factor 36a^2b^4-144d^8e^{10} ?
The solution to factor 36a^2b^4-144d^8e^{10} is 36(ab^2+2e^5d^4)(ab^2-2e^5d^4)