 # How can i change 1-x^2 to a form where it is (x^2) first then one. In the form (x^2 -a)? Do i just mulitply by -1 and that switches the order of the x^2 and 1 ? Caylee Villegas 2022-07-27 Answered
How can i change $1-{x}^{2}$ to a form where it is $\left({x}^{2}\right)$ first then one. In the form $\left({x}^{2}-a\right)$? Do i just mulitply by -1 and that switches the order of the ${x}^{2}$ and 1 ?
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Step 1
Let $f\left(x\right)=1-{x}^{2}$
We want f(x) in form of ${x}^{2}-a$ i.e. ${x}^{2}$ first and then constant.
Step 2
So, for that if I multiply f(x) by -1, i get new function
$g\left(x\right)=-1\left(f\left(x\right)\right)$
$=-1\left(1-{x}^{2}\right)$
$=-1+{x}^{2}$
$g\left(x\right)={x}^{2}-1$

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