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

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

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

factor

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

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

Solution steps

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

Factor

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

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

Simplify

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

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

Apply Difference of Two Squares Formula:

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

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

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

Apply rule:

(a) = a

(y - 3) = y - 3

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

2.8 + 3.2 x + 1 = 16.6

∣ 3 x + 2 ∣ \geq 4

\frac{x + 4}{x + 7} < 2

∣ 5 x - 5 ∣ < 15

- 6 x + 37 > 7

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