What is factor 25x^2-36y^2-10x+1 ?

The solution to factor 25x^2-36y^2-10x+1 is (5x-1+6y)(5x-1-6y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 25x^2-36y^2-10x+1

factor

25 x^{2} - 36 y^{2} - 10 x + 1

(5 x - 1 + 6 y) (5 x - 1 - 6 y)

Solution steps

25 x^{2} - 36 y^{2} - 10 x + 1

Factor

25 x^{2} - 10 x + 1 : (5 x - 1)^{2}

= (5 x - 1)^{2} - 36 y^{2}

Simplify

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

= (5 x - 1)^{2} - (6 y)^{2}

Apply Difference of Two Squares Formula:

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

(5 x - 1)^{2} - (6 y)^{2} = ((5 x - 1) + 6 y) ((5 x - 1) - 6 y)

= ((5 x - 1) + 6 y) ((5 x - 1) - 6 y)

Apply rule:

(a) = a

(5 x - 1) = 5 x - 1

= (5 x - 1 + 6 y) (5 x - 1 - 6 y)

xx + 113 x + x + 16

x - 7.5 x

(5 a^{4})^{2}

(\frac{3}{2 y - 5 z})^{3}

2 (x^{5})^{2} (4 x^{5} + 3)

What is factor 25x^2-36y^2-10x+1 ?
The solution to factor 25x^2-36y^2-10x+1 is (5x-1+6y)(5x-1-6y)