What is factor 9x^2-25y^2+10y-1 ?

The solution to factor 9x^2-25y^2+10y-1 is (3x+5y-1)(3x-5y+1)

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factor 9x^2-25y^2+10y-1

factor

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

(3 x + 5 y - 1) (3 x - 5 y + 1)

Solution steps

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

Factor

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

= 9 x^{2} - (5 y - 1)^{2}

Simplify

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

= (3 x)^{2} - (5 y - 1)^{2}

Apply Difference of Two Squares Formula:

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

(3 x)^{2} - (5 y - 1)^{2} = (3 x + (5 y - 1)) (3 x - (5 y - 1))

= (3 x + (5 y - 1)) (3 x - (5 y - 1))

Simplify

(3 x + (5 y - 1)) (3 x - (5 y - 1)) : (3 x + 5 y - 1) (3 x - 5 y + 1)

= (3 x + 5 y - 1) (3 x - 5 y + 1)

2 m^{2} \cdot 2 m^{3}

(x - 1) (x + 1) \leq 0

- 3 (\frac{1}{6} y) - 18 = 72

4 1^{2}

- 2 a^{2} - 11 a - 10 = 0

What is factor 9x^2-25y^2+10y-1 ?
The solution to factor 9x^2-25y^2+10y-1 is (3x+5y-1)(3x-5y+1)