What is factor 16d^2e^2-64m^2 ?

The solution to factor 16d^2e^2-64m^2 is 16(ed+2m)(ed-2m)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 16d^2e^2-64m^2

factor

16 d^{2} e^{2} - 64 m^{2}

16 (e d + 2 m) (e d - 2 m)

Solution steps

16 d^{2} e^{2} - 64 m^{2}

Rewrite

16 d^{2} e^{2}

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

Rewrite

64 m^{2}

(2^{3} m)^{2}

= (2^{2} d e)^{2} - (2^{3} m)^{2}

Apply Difference of Two Squares Formula:

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

(2^{2} d e)^{2} - (2^{3} m)^{2} = (2^{2} d e + 2^{3} m) (2^{2} d e - 2^{3} m)

= (2^{2} d e + 2^{3} m) (2^{2} d e - 2^{3} m)

Refine

= (4 e d + 8 m) (4 e d - 8 m)

Factor

4 e d + 8 m : 4 (e d + 2 m)

= 4 (e d + 2 m) (4 e d - 8 m)

Factor

4 e d - 8 m : 4 (e d - 2 m)

= 4 (e d + 2 m) \cdot 4 (e d - 2 m)

Refine

= 16 (e d + 2 m) (e d - 2 m)

x^{2} - 10 + 16

2 lo g_{10} (x^{2} - y^{2})

56

x^{2} - 10 + 29

x^{2} - 10 + 24

What is factor 16d^2e^2-64m^2 ?
The solution to factor 16d^2e^2-64m^2 is 16(ed+2m)(ed-2m)