Question

Which of the following are the factors of 1-x^2

Answer 1

Answer:

(1+x)(1+x)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=1 and b=x.

Answer 2

Given:

We have given the equation which is  $1-x^2$.

To Find:

We have to factorize the equation?

Step-by-step explanation:

• We have given the equation which we written below in the form.

       $1-x^2$

• For factorizing the above equation we will follow the following steps.
• First of all we will remember the formula of a square minus by b square formula which says that.

        $a^2-b^2=(a-b)(a+b)$

• Now we will compare the given equation with the formula written above we get the value of a is 1 and the value of b is $x^2$ .
• Now use the above formula in the given equation and factorize it. we can write it as.

       $1-x^2=(1-x)(1+x)$

Hence, we get the factors of given equation is (1-x)(1+x).