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

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

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factor 16-x^2+2xy-y^2

factor

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

(4 + x - y) (4 - x + y)

Solution steps

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

Factor

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

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

Factor the number:

16 = 4^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

\frac{2}{5} \div \frac{4}{9}

+ 1000 0^{\frac{3}{4}}

16 - 16

- \frac{3}{2} \cdot (- \frac{3}{2})

- 5.27 + (- 3.32)

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