What is factor 4-4(1-a)+(1-a)^2 ?

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

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factor 4-4(1-a)+(1-a)^2

factor

4 - 4 (1 - a) + (1 - a)^{2}

(- a - 1)^{2}

Solution steps

4 - 4 (1 - a) + (1 - a)^{2}

Write in the standard form

a x^{2} + b x + c

= (1 - a)^{2} - 4 (1 - a) + 4

Rewrite

(1 - a)^{2} - 4 (1 - a) + 4

(1 - a)^{2} - 2 (1 - a) \cdot 2 + 2^{2}

= (1 - a)^{2} - 2 (1 - a) \cdot 2 + 2^{2}

Apply Perfect Square Formula:

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

a = (1 - a), b = 2

= ((1 - a) - 2)^{2}

Refine

= (- a - 1)^{2}

Factor

(- a - 1)^{2} : (a + 1)^{2}

= (- a - 1)^{2}

4 x^{2} + x^{2}

\frac{d}{d t} ((x) (t))

x + (- 2)

\frac{x - 3}{x ^{2} - 9}

4 a^{13} - 9 a b^{12}

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