What is factor 3(x-2y-5)^2-2(x-2y)+5 ?

The solution to factor 3(x-2y-5)^2-2(x-2y)+5 is 3x^2-12xy-32x+12y^2+64y+80

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factor 3(x-2y-5)^2-2(x-2y)+5

factor

3 (x - 2 y - 5)^{2} - 2 (x - 2 y) + 5

3 x^{2} - 12 x y - 32 x + 12 y^{2} + 64 y + 80

Solution steps

3 (x - 2 y - 5)^{2} - 2 (x - 2 y) + 5

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

= 3 (x - 2 y - 5) (x - 2 y - 5) - 2 (x - 2 y) + 5

Expand

3 (x - 2 y - 5) (x - 2 y - 5) : - 12 x y + 3 x^{2} - 30 x + 12 y^{2} + 60 y + 75

= - 12 x y + 3 x^{2} - 30 x + 12 y^{2} + 60 y + 75 - 2 (x - 2 y) + 5

Expand

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

= - 12 x y + 3 x^{2} - 30 x + 12 y^{2} + 60 y + 75 - 2 x + 4 y + 5

Simplify

- 12 x y + 3 x^{2} - 30 x + 12 y^{2} + 60 y + 75 - 2 x + 4 y + 5 : 3 x^{2} - 12 x y - 32 x + 12 y^{2} + 64 y + 80

= 3 x^{2} - 12 x y - 32 x + 12 y^{2} + 64 y + 80

- 2 π sin (π y) + π^{2} cos (π x)

[sin^{4} (x) + e^{2 x}]

6 (9 - z) - 4 (9 - z)

\frac{x ^{2} + 9 x + 20}{x + 4}

u^{3} w^{3} + \frac{1}{8}

What is factor 3(x-2y-5)^2-2(x-2y)+5 ?
The solution to factor 3(x-2y-5)^2-2(x-2y)+5 is 3x^2-12xy-32x+12y^2+64y+80