Operations on Algebraic Expressions

Solve: $\left(a+b\right)-(a+b)$

Find the value of the following product.

$\left(2m-n\right)\left(m-2n\right)$ at $m=1$ and $n=-1$

Divide the given polynomial by the given monomial

$8(x^3{y}^2{z}^2+x^2{y}^3{z}^2+x^2{y}^2{z}^3)÷4x^2{y}^2{z}^2$

Divide the given polynomial by the given monomial

$\left(2a^{3}b-6a{b}^3\right)÷ab$

Given that $x=\sqrt{3}+\frac{1}{\sqrt{3}}$ and $y=\sqrt{3}-\frac{1}{\sqrt{3}}$, and if the value of $\frac{x^2}{y}+\frac{y^2}{x}$ is $k\sqrt{3}$, find the value of $k$.

$\frac{a^2}{a^2-b^2}-\frac{b^2}{a^2-b^2}=$?

Complete the table of the products.

Find the error present in the given mathematical expression $\frac{4x+3}{3}=x+1$, and correct that error.

Find the error present in the given mathematical expression $3x+5÷3=5$, and correct that error.

Find the error present in the given mathematical expression $3x+2÷3x=\frac{2}{3x}$, and correct that error.

If $A=xy, B=yz$ and $C=zx$ find $ABC$

Find the product of the following monomials.

$-3a, 4ab, -6c, d$

Find the product of the following monomials.

$pq, pqr, r$

Find the product of the following monomials.

$kl, lm, km, klm$

Find the product of the following monomials.

$a, b, ab, a^{3}b, a{b}^3$

Find the product of the following monomials.

$xy, x^{2}y, xy, x$

Find the product of the following pair.

$-5p^2, -2p$

Find the product of the following pair.

$6n, 3m$

Find the product of the following pair.

$-5t^2, -3t^2$

Find the product of the following pair.

$-3l, -2m$