What is factor 49x^2-25y^2+10y-1 ?

The solution to factor 49x^2-25y^2+10y-1 is (7x+5y-1)(7x-5y+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 49x^2-25y^2+10y-1

factor

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

(7 x + 5 y - 1) (7 x - 5 y + 1)

Solution steps

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

Factor

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

= 49 x^{2} - (5 y - 1)^{2}

Simplify

49 x^{2} : (7 x)^{2}

= (7 x)^{2} - (5 y - 1)^{2}

Apply Difference of Two Squares Formula:

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

(7 x)^{2} - (5 y - 1)^{2} = (7 x + (5 y - 1)) (7 x - (5 y - 1))

= (7 x + (5 y - 1)) (7 x - (5 y - 1))

Simplify

(7 x + (5 y - 1)) (7 x - (5 y - 1)) : (7 x + 5 y - 1) (7 x - 5 y + 1)

= (7 x + 5 y - 1) (7 x - 5 y + 1)

(3 + p)^{3}

a^{4} b^{4} - 16 c^{4}

\frac{2}{( x + 5 )} + \frac{( 3 x )}{( x + 5 )}

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

(- a)^{- 5} (- a)^{- 3} a

What is factor 49x^2-25y^2+10y-1 ?
The solution to factor 49x^2-25y^2+10y-1 is (7x+5y-1)(7x-5y+1)