What is factor 16-4x^2+12xy-9y^2 ?

The solution to factor 16-4x^2+12xy-9y^2 is (4+2x-3y)(4-2x+3y)

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factor 16-4x^2+12xy-9y^2

factor

16 - 4 x^{2} + 12 x y - 9 y^{2}

(4 + 2 x - 3 y) (4 - 2 x + 3 y)

Solution steps

16 - 4 x^{2} + 12 x y - 9 y^{2}

Factor

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

= 16 - (2 x - 3 y)^{2}

Factor the number:

16 = 4^{2}

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

Apply Difference of Two Squares Formula:

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

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

= (4 + (2 x - 3 y)) (4 - (2 x - 3 y))

Simplify

(4 + (2 x - 3 y)) (4 - (2 x - 3 y)) : (4 + 2 x - 3 y) (4 - 2 x + 3 y)

= (4 + 2 x - 3 y) (4 - 2 x + 3 y)

(64 x^{4})^{\frac{1}{2}}

1 + x < 7 x + 5

x \cdot x^{- \frac{1}{3}}

6 x^{2} + 5 x = 21

7 - 8 (a + 2) = 9 + a

What is factor 16-4x^2+12xy-9y^2 ?
The solution to factor 16-4x^2+12xy-9y^2 is (4+2x-3y)(4-2x+3y)