PRACTICE QUESTIONS CLASSROOM WING

What is the appropriate formula that can be used to find the value of $\left(50\frac{1}{4}\times 49\frac{3}{4}\right)$?

Find the value of the following by using a suitable identity.

${\left(55\right)}^2$

Find the value of the following by using a suitable identity.

${\left(26\right)}^2$

Find the value of the following by using a suitable identity.

$\left(105\times 95\right)$

Find the value of the following by using a suitable identity.

$\left(52.5\times 47.5\right)$

Find the value of the following by using a suitable identity.

${\left(603\right)}^3$

Find the value of the following by using a suitable identity.

${\left(396\right)}^3$

If $x^2+\frac{1}{x^2}=\frac{17}{4}$, then find $x-\frac{1}{x}, x+\frac{1}{x}, x^3-\frac{1}{x^3}$ and $x^3+\frac{1}{x^3}$.