What is factor 25-x^2-16y^2+8xy ?

The solution to factor 25-x^2-16y^2+8xy is (5+x-4y)(5-x+4y)

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factor 25-x^2-16y^2+8xy

factor

25 - x^{2} - 16 y^{2} + 8 x y

(5 + x - 4 y) (5 - x + 4 y)

Solution steps

25 - x^{2} - 16 y^{2} + 8 x y

Factor

- x^{2} - 16 y^{2} + 8 x y : - (x - 4 y)^{2}

= 25 - (x - 4 y)^{2}

Factor the number:

25 = 5^{2}

= 5^{2} - (x - 4 y)^{2}

Apply Difference of Two Squares Formula:

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

5^{2} - (x - 4 y)^{2} = (5 + (x - 4 y)) (5 - (x - 4 y))

= (5 + (x - 4 y)) (5 - (x - 4 y))

Simplify

(5 + (x - 4 y)) (5 - (x - 4 y)) : (5 + x - 4 y) (5 - x + 4 y)

= (5 + x - 4 y) (5 - x + 4 y)

\frac{2 10}{2}

348 - 2108

π 1 1^{2}

- x \cdot (- 3)

- x \cdot (- 2)

What is factor 25-x^2-16y^2+8xy ?
The solution to factor 25-x^2-16y^2+8xy is (5+x-4y)(5-x+4y)