What is factor 49-14(2-x)+(2-x)^2 ?

The solution to factor 49-14(2-x)+(2-x)^2 is (-x-5)^2

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factor 49-14(2-x)+(2-x)^2

factor

49 - 14 (2 - x) + (2 - x)^{2}

(- x - 5)^{2}

Solution steps

49 - 14 (2 - x) + (2 - x)^{2}

Write in the standard form

a x^{2} + b x + c

= (2 - x)^{2} - 14 (2 - x) + 49

Rewrite

(2 - x)^{2} - 14 (2 - x) + 49

(2 - x)^{2} - 2 (2 - x) \cdot 7 + 7^{2}

= (2 - x)^{2} - 2 (2 - x) \cdot 7 + 7^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = (2 - x), b = 7

= ((2 - x) - 7)^{2}

Refine

= (- x - 5)^{2}

Factor

(- x - 5)^{2} : (x + 5)^{2}

= (- x - 5)^{2}

3 x^{2} y + y^{'} (x) x^{3}

x^{2} - 2 x^{2} - 23 x + 60

- (\frac{9 + 131}{25})

pq - 3 q r - 6 p + 18 r

(y \cdot f) h^{2}

What is factor 49-14(2-x)+(2-x)^2 ?
The solution to factor 49-14(2-x)+(2-x)^2 is (-x-5)^2