What is factor 20d^2-45e^2 ?

The solution to factor 20d^2-45e^2 is 5(2d+3e)(2d-3e)

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factor 20d^2-45e^2

factor

20 d^{2} - 45 e^{2}

5 (2 d + 3 e) (2 d - 3 e)

Solution steps

20 d^{2} - 45 e^{2}

Rewrite

20 d^{2} - 45 e^{2}

(20 d)^{2} - (45 e^{2})^{2}

= (20 d)^{2} - (45 e^{2})^{2}

Apply Difference of Two Squares Formula:

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

(20 d)^{2} - (45 e^{2})^{2} = (20 d + 45 e^{2}) (20 d - 45 e^{2})

= (20 d + 45 e^{2}) (20 d - 45 e^{2})

Refine

= (25 d + 35 e) (25 d - 35 e)

Factor

25 d + 35 e : 5 (2 d + 3 e)

= 5 (2 d + 3 e) (25 d - 35 e)

Factor

25 d - 35 e : 5 (2 d - 3 e)

= 5 (2 d + 3 e) 5 (2 d - 3 e)

Refine

= 5 (2 d + 3 e) (2 d - 3 e)

(p k)^{2} + 5 p k - 14

x^{3 + 1}

a e^{ik x} + b e^{- ik x}

[- 2.11]

(sin (x))^{2} + 1

What is factor 20d^2-45e^2 ?
The solution to factor 20d^2-45e^2 is 5(2d+3e)(2d-3e)