Division of Algebraic Expressions

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

$\left(2a^{3}b-6a{b}^3\right)÷ab$

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

If $x^2-5x+6$ is divisible by $x-2$, then the quotient is

Find Adirai's percentage of marks who scored $25m^3{n}^{2}p$ out of $100m^{2}np$

Divide:

$10(4x-8y)$ by $5(x-2y)$

Simplify

$\frac{14p^5{q}^3}{2p^{2}q}-\frac{12p^3{q}^4}{3q^3}$

$\frac{42a^4{b}^5\left(\_\_\_\_\_\right)}{6a^4{b}^2}=\left(\_\_\_\_\_\right)b^3{c}^2$

$\frac{l^4{m}^5{n}^{\left(\_\_\_\_\_\right)}}{2l{m}^{\left(\_\_\_\_\_\right)}{n}^6}=\frac{l^3{m}^{2}n}{2}$

If we divide $10x^4-25x^3-5x^2$ by $5x^2$, we get _____. $\left[A)2x^2-5x-1, B)2x^2+5x-1, C)2x^2-5x+1\right]$

Write $A, B$ or $C$ in the blank.

The distance travelled by an object is given by the algebraic expression $({\mathrm{a}}^2 - 13\mathrm{a} + 36)\mathrm{km}$ and its speed by $(\mathrm{a} -9) \mathrm{km}/\mathrm{h}$. Find the time taken by the object to travel the given distance.

Using long division, find the quotient and remainder when $3x^3-5x^2+6x-8$ is divided by $x-2$.

If the result of simplification of $\frac{63a^3{b}^2{c}^5}{-7a^2{b}^2{c}^2}$  is of the form $k{a}^x{b}^y{c}^z$, then write the value of $k+x+y+z$.$$

The simplified value of $\frac{x^2+23x-210}{x+30}$ is $x-k$, then find the value of $k$.

The simplification of $\frac{9a^2+6a+1}{3a+1}$ is in the form of $\mathrm{m}a+\mathrm{n}$, then find the value of $\mathrm{m}+\mathrm{n}$.

Perform the following division and give the remainder:

$(3{\mathrm{p}}^2+6\mathrm{p}+18)÷(\mathrm{p}-6)$

Divide the following:

$\left\{(-2{)}^4{\mathrm{x}}^2{\mathrm{z}}^3\mathrm{y}+2^4{\mathrm{z}}^2{\mathrm{x}}^4-4{\mathrm{z}}^4{\mathrm{y}}^4\right\}÷2{\mathrm{z}}^2$

$5x$ books cost $₹\left(10x^2+20x\right)$. If the cost of one book is $₹( Ax+B)$, then write the value of $A+B$.

If we simplify the following we get $K{a}^{6}b-Jd$. Find the value of $K+J$

$\frac{14a^{9}b-8a^{3}d}{2a^3}$

If $\left(34y^3{z}^2+51y^5{z}^3\right)÷17y^2{z}^2=ay+b{y}^m{z}^n$, then find $a+b+m+n$.