What is factor (25m^2-20mn+4n^2)-36p^2 ?

The solution to factor (25m^2-20mn+4n^2)-36p^2 is (6p+5m-2n)(-6p+5m-2n)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (25m^2-20mn+4n^2)-36p^2

factor

(25 m^{2} - 20 mn + 4 n^{2}) - 36 p^{2}

(6 p + 5 m - 2 n) (- 6 p + 5 m - 2 n)

Solution steps

(25 m^{2} - 20 mn + 4 n^{2}) - 36 p^{2}

Factor

25 m^{2} - 20 mn + 4 n^{2} : (5 m - 2 n)^{2}

= (5 m - 2 n)^{2} - 36 p^{2}

Simplify

36 p^{2} : (6 p)^{2}

= (5 m - 2 n)^{2} - (6 p)^{2}

Apply Difference of Two Squares Formula:

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

(5 m - 2 n)^{2} - (6 p)^{2} = ((5 m - 2 n) + 6 p) ((5 m - 2 n) - 6 p)

= ((5 m - 2 n) + 6 p) ((5 m - 2 n) - 6 p)

Apply rule:

(a) = a

(5 m - 2 n) = 5 m - 2 n

= (5 m - 2 n + 6 p) (5 m - 2 n - 6 p)

= (6 p + 5 m - 2 n) (- 6 p + 5 m - 2 n)

x + 8 = 12

0 = x^{2} + 2 x - 24

7 x - (2 - 3 x) = 5 x + 43

12 x^{2} + 0.1 x + 1 = 0

What is factor (25m^2-20mn+4n^2)-36p^2 ?
The solution to factor (25m^2-20mn+4n^2)-36p^2 is (6p+5m-2n)(-6p+5m-2n)