What is factor c^4d^2-16e^2f^4 ?

The solution to factor c^4d^2-16e^2f^4 is (c^2d+4ef^2)(c^2d-4ef^2)

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factor c^4d^2-16e^2f^4

factor

c^{4} d^{2} - 16 e^{2} f^{4}

(c^{2} d + 4 e f^{2}) (c^{2} d - 4 e f^{2})

Solution steps

c^{4} d^{2} - 16 e^{2} f^{4}

Rewrite

c^{4} d^{2}

(c^{2} d)^{2}

Rewrite

16 e^{2} f^{4}

(2^{2} e f^{2})^{2}

= (c^{2} d)^{2} - (2^{2} e f^{2})^{2}

Apply Difference of Two Squares Formula:

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

(c^{2} d)^{2} - (2^{2} e f^{2})^{2} = (c^{2} d + 2^{2} e f^{2}) (c^{2} d - 2^{2} e f^{2})

= (c^{2} d + 2^{2} e f^{2}) (c^{2} d - 2^{2} e f^{2})

Refine

= (4 e f^{2} + c^{2} d) (- 4 e f^{2} + c^{2} d)

(x + y)^{3} - 3 x y (1 - x - y) - 1

a + (- r) + (2)

e^{t} cos (t) - e^{t} sin (t)

2 8^{2}

x + (- 1)

What is factor c^4d^2-16e^2f^4 ?
The solution to factor c^4d^2-16e^2f^4 is (c^2d+4ef^2)(c^2d-4ef^2)