Polynomials Quiz 9

How much is $a^2 + 2ab + b^2$ more than $a^2 – 2ab + b^2 ?$

Express $x- \frac{1}{x}$ as a rational expression,

Which of the following expressions is a polynomial ?

Which of the following is true ?

Simplify $\frac{a^2-(b-c)^2}{(a+c)^2-b^2}+\frac{b^2-(a-c)^2}{(a+b)^2-c^2}+\frac{c^2-(a-b)^2}{(b+c)^2-a^2}$

What should be subtracted from $\left(\frac{2x^2+2x-7}{x^2+x-6}\right)$ to get $\left(\frac{x-2}{x+3}\right)$

The lowest form of rational expression $\frac{x^2-4}{xy+2y}$ is

The expression $\frac{1}{1-x}-\frac{1}{1+x}-\frac{x^3}{1-x}+\frac{x^2}{1+x}$ in lowest term is ……………

Simplify $\frac{81x^4 -16x^2 +32x-16}{9x^2-4x+4}$

What should be added to $\frac{1}{x^2 -7x+12}$ to get $\frac{2}{x^2 -6x+8}$