What is factor 16-y^2+10xy-25x^2 ?

The solution to factor 16-y^2+10xy-25x^2 is (4+y-5x)(4-y+5x)

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factor 16-y^2+10xy-25x^2

factor

16 - y^{2} + 10 x y - 25 x^{2}

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

Solution steps

16 - y^{2} + 10 x y - 25 x^{2}

Factor

- y^{2} + 10 y x - 25 x^{2} : - (y - 5 x)^{2}

= 16 - (y - 5 x)^{2}

Factor the number:

16 = 4^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

(3 x - 1) (3 x + 2) = 2 x

5 + 2 R - 8 = - 8 R + 2 + 7 R

4 x = 4 x + 3

- 67 = 45 + 7 x

12 + 48 a

What is factor 16-y^2+10xy-25x^2 ?
The solution to factor 16-y^2+10xy-25x^2 is (4+y-5x)(4-y+5x)