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

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

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

factor

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

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

Solution steps

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

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)

\frac{6 r ^{2}}{9 r ^{- 1}}

x^{4} + 4 x^{2} y^{2} + 4 y^{4} - 16

(3 x y + 4)^{3}

(a - 7) (a + 7)

y + cos (y^{'} (t)) - 0

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