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

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

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simplify-2(1-x)^2+(x-1)^2

simplify

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

- x^{2} + 2 x - 1

Solution steps

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

Expand

- 2 (1 - x)^{2} : - 2 + 4 x - 2 x^{2}

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

Expand

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

= - 2 + 4 x - 2 x^{2} + x^{2} - 2 x + 1

Add similar elements:

- 2 x^{2} + x^{2} = - x^{2}

= - 2 + 4 x - x^{2} - 2 x + 1

Group like terms

= - x^{2} + 4 x - 2 x - 2 + 1

Add similar elements:

4 x - 2 x = 2 x

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

Add the numbers:

- 2 + 1 = - 1

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

(t + 5)^{2}

\frac{15}{18}

- 87 + 67

(3 t)^{2}

\frac{sin ( θ ) - 1}{cos ( θ )} - \frac{cos ( θ )}{sin ( θ ) - 1}

What is simplify-2(1-x)^2+(x-1)^2 ?
The solution to simplify-2(1-x)^2+(x-1)^2 is -x^2+2x-1