What is factor 196c^4-121d^6e^6 ?

The solution to factor 196c^4-121d^6e^6 is (14c^2+11e^3d^3)(14c^2-11e^3d^3)

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factor 196c^4-121d^6e^6

factor

196 c^{4} - 121 d^{6} e^{6}

(14 c^{2} + 11 e^{3} d^{3}) (14 c^{2} - 11 e^{3} d^{3})

Solution steps

196 c^{4} - 121 d^{6} e^{6}

Rewrite

196 c^{4}

(14 c^{2})^{2}

Rewrite

121 d^{6} e^{6}

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

= (14 c^{2})^{2} - (11 d^{3} e^{3})^{2}

Apply Difference of Two Squares Formula:

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

(14 c^{2})^{2} - (11 d^{3} e^{3})^{2} = (14 c^{2} + 11 d^{3} e^{3}) (14 c^{2} - 11 d^{3} e^{3})

= (14 c^{2} + 11 d^{3} e^{3}) (14 c^{2} - 11 d^{3} e^{3})

(a + b + c) (ab + b c + a c) - ab c

e^{x - 4 t} + e^{x + 4 t}

2 ab c - 3 ab - 4 x c + 6 x

(y + z)^{3} + 27

What is factor 196c^4-121d^6e^6 ?
The solution to factor 196c^4-121d^6e^6 is (14c^2+11e^3d^3)(14c^2-11e^3d^3)