What is factor 2x^2+2y^2-4x+4y+2 ?

The solution to factor 2x^2+2y^2-4x+4y+2 is 2(x^2+y^2-2x+2y+1)

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factor 2x^2+2y^2-4x+4y+2

factor

2 x^{2} + 2 y^{2} - 4 x + 4 y + 2

2 (x^{2} + y^{2} - 2 x + 2 y + 1)

Solution steps

2 x^{2} + 2 y^{2} - 4 x + 4 y + 2

Rewrite

4

2 \cdot 2

Rewrite

- 4

2 \cdot 2

= 2 x^{2} + 2 y^{2} - 2 \cdot 2 x + 2 \cdot 2 y + 2

Factor out common term

2

= 2 (x^{2} + y^{2} - 2 x + 2 y + 1)

- \frac{2}{5} (x + 10) = \frac{3}{5} x

2 v^{2} + 3 v - 9

\frac{1}{5} + \frac{1}{7}

\frac{9}{6} + \frac{7}{8}

x^{3} - 4 x^{2} - 5 x + 20

What is factor 2x^2+2y^2-4x+4y+2 ?
The solution to factor 2x^2+2y^2-4x+4y+2 is 2(x^2+y^2-2x+2y+1)