What is factor x^2-4y^2-6x+9 ?

The solution to factor x^2-4y^2-6x+9 is (x-3+2y)(x-3-2y)

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factor x^2-4y^2-6x+9

factor

x^{2} - 4 y^{2} - 6 x + 9

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

Solution steps

x^{2} - 4 y^{2} - 6 x + 9

Factor

x^{2} - 6 x + 9 : (x - 3)^{2}

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

Simplify

4 y^{2} : (2 y)^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Apply rule:

(a) = a

(x - 3) = x - 3

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

2 x^{2} + x - 6 > 0

4 x (x - 1) \cdot (x + 1) \geq 0

(- 4)^{3}

x^{2} - 5 x y + 6 y^{2}

\frac{x + 16}{x - 5} \geq 0

What is factor x^2-4y^2-6x+9 ?
The solution to factor x^2-4y^2-6x+9 is (x-3+2y)(x-3-2y)