Solve x^2+1-2x^2

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

Factor

$$\left(-x-1\right)\left(x-1\right)$$

Solution Steps

Multiply and combine like terms.

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

Rewrite -x^{2}+1 as 1^{2}-x^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(1-x\right)\left(1+x\right)$$

Reorder the terms.

$$\left(-x+1\right)\left(x+1\right)$$

Evaluate

$$1-x^{2}$$

Solution Steps

Combine x^{2} and -2x^{2} to get -x^{2}.

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