What is factor (1+x^2)-2x ?

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

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factor (1+x^2)-2x

factor

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

(x - 1)^{2}

Solution steps

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

Remove parentheses:

(a) = a

= 1 + x^{2} - 2 x

Write in the standard form

a x^{2} + b x + c

= x^{2} - 2 x + 1

Rewrite

x^{2} - 2 x + 1

x^{2} - 2 x \cdot 1 + 1^{2}

= x^{2} - 2 x \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

a = x, b = 1

= (x - 1)^{2}

23 e - 23 e^{0.5}

(\frac{5}{2} x + 3)^{2}

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X^{7} \cdot X^{2}

8 e^{3} f^{6} + 125 g^{3}