What is factor 1-4x^2+12xy-9y^2 ?

The solution to factor 1-4x^2+12xy-9y^2 is (1+2x-3y)(1-2x+3y)

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factor 1-4x^2+12xy-9y^2

factor

1 - 4 x^{2} + 12 x y - 9 y^{2}

(1 + 2 x - 3 y) (1 - 2 x + 3 y)

Solution steps

1 - 4 x^{2} + 12 x y - 9 y^{2}

Factor

- 4 x^{2} + 12 x y - 9 y^{2} : - (2 x - 3 y)^{2}

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

Rewrite

1

1^{2}

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

Apply Difference of Two Squares Formula:

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

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

= (1 + (2 x - 3 y)) (1 - (2 x - 3 y))

Simplify

(1 + (2 x - 3 y)) (1 - (2 x - 3 y)) : (1 + 2 x - 3 y) (1 - 2 x + 3 y)

= (1 + 2 x - 3 y) (1 - 2 x + 3 y)

(5 p^{2} - 4 q)^{3}

\frac{4}{3}

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

\frac{5}{8} - \frac{9}{32}

\frac{( \frac{1}{x} - 1 )}{x - 1}

What is factor 1-4x^2+12xy-9y^2 ?
The solution to factor 1-4x^2+12xy-9y^2 is (1+2x-3y)(1-2x+3y)