What is factor 9x^2-y^2+10y-25 ?

The solution to factor 9x^2-y^2+10y-25 is (3x+y-5)(3x-y+5)

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factor 9x^2-y^2+10y-25

factor

9 x^{2} - y^{2} + 10 y - 25

(3 x + y - 5) (3 x - y + 5)

Solution steps

9 x^{2} - y^{2} + 10 y - 25

Factor

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

= 9 x^{2} - (y - 5)^{2}

Simplify

9 x^{2} : (3 x)^{2}

= (3 x)^{2} - (y - 5)^{2}

Apply Difference of Two Squares Formula:

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

(3 x)^{2} - (y - 5)^{2} = (3 x + (y - 5)) (3 x - (y - 5))

= (3 x + (y - 5)) (3 x - (y - 5))

Simplify

(3 x + (y - 5)) (3 x - (y - 5)) : (3 x + y - 5) (3 x - y + 5)

= (3 x + y - 5) (3 x - y + 5)

6 4^{4} y^{2}

6 (6 v) + 7 v

\frac{x}{x ^{2} - 25} - \frac{5}{x ^{2} - 25}

\frac{4}{i ^{3}}

(x + 1)^{10}

What is factor 9x^2-y^2+10y-25 ?
The solution to factor 9x^2-y^2+10y-25 is (3x+y-5)(3x-y+5)