What is factor 3(x-k)^2+k^2-2k+4 ?

The solution to factor 3(x-k)^2+k^2-2k+4 is 3x^2-6kx+4k^2-2k+4

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factor 3(x-k)^2+k^2-2k+4

factor

3 (x - k)^{2} + k^{2} - 2 k + 4

3 x^{2} - 6 k x + 4 k^{2} - 2 k + 4

Solution steps

3 (x - k)^{2} + k^{2} - 2 k + 4

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

= 3 (x^{2} - 2 x k + k^{2}) + k^{2} - 2 k + 4

Expand

3 (x^{2} - 2 x k + k^{2}) : 3 x^{2} - 6 k x + 3 k^{2}

= 3 x^{2} - 6 k x + 3 k^{2} + k^{2} - 2 k + 4

Add similar elements:

3 k^{2} + k^{2} = 4 k^{2}

= 3 x^{2} - 6 k x + 4 k^{2} - 2 k + 4

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

g (3 x) - 2 x^{2} - 3

3 3 + 32

2 x^{2} - 9 - 6 x - 3 x - 18

What is factor 3(x-k)^2+k^2-2k+4 ?
The solution to factor 3(x-k)^2+k^2-2k+4 is 3x^2-6kx+4k^2-2k+4