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

The solution to factor 36a^2b^4-144a^8e^{10} is 36a^2(b^2+2e^5a^3)(b^2-2e^5a^3)

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

factor

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

36 a^{2} (b^{2} + 2 e^{5} a^{3}) (b^{2} - 2 e^{5} a^{3})

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

a^{8} = a^{2} a^{6}

= 36 a^{2} b^{4} - 144 e^{10} a^{2} a^{6}

Factor out common term

a^{2}

= a^{2} (36 b^{4} - 144 e^{10} a^{6})

Factor

36 b^{4} - 144 e^{10} a^{6} : (6 b^{2} + 12 e^{5} a^{3}) (6 b^{2} - 12 e^{5} a^{3})

= a^{2} (12 e^{5} a^{3} + 6 b^{2}) (6 b^{2} - 12 e^{5} a^{3})

Factor

6 b^{2} + 12 e^{5} a^{3} : 6 (b^{2} + 2 e^{5} a^{3})

= 6 a^{2} (2 e^{5} a^{3} + b^{2}) (6 b^{2} - 12 e^{5} a^{3})

Factor

6 b^{2} - 12 e^{5} a^{3} : 6 (b^{2} - 2 e^{5} a^{3})

= a^{2} \cdot 6 (b^{2} + 2 e^{5} a^{3}) \cdot 6 (b^{2} - 2 e^{5} a^{3})

Refine

= 36 a^{2} (b^{2} + 2 e^{5} a^{3}) (b^{2} - 2 e^{5} a^{3})

\frac{15}{12}

2 a + (- 3)

am - bm + am - bn

80 + 1503

2^{n + 2} - 4

What is factor 36a^2b^4-144a^8e^{10} ?
The solution to factor 36a^2b^4-144a^8e^{10} is 36a^2(b^2+2e^5a^3)(b^2-2e^5a^3)