Division of Algebraic Expressions

The area of a rectangular park is $5x^2+17x+6$ square metres. One of its sides is $\left(x+3\right)$, then find the other adjacent side.

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

Find the value of $\left(14a^{2}b-7a{b}^2\right)÷7ab$.

Find the quotient and remainder: $\left(9x^3-45x^2+71x-40\right)÷(3x-8)$

Divide:

$10x^3-39x^2+41x-15$ by $(2 x-5)$

Divide:

$\left(6a^2+7ab-20b^2\right)$by $(3 a-4 b)$,

Divide: 

$x^4-y^4$ by $\left(x+y\right)$.

Divide:

$x^5-y^5$ by $(x-y)$

Find the quotient and remainder: $\left(4x^5{y}^5-2x^3{y}^3+6x^3{y}^5\right)÷\left(-2x^3{y}^3\right)$

Find the quotient and remainder: $\left(-9x^3{y}^3-6x^2{y}^2+12x^2{y}^3\right)÷\left(-3x^2{y}^2\right)$

The area of a square is $\left(4x^2-36x+81\right)$ sq.m. , then find its side. If $\left(x=5\right)$ then what will be the value of the side and area of the square?

On simplifying $\frac{9a^{2 }-24a+18a^{3 }}{3a}$ we get $\mathrm{ka}-8+3{\mathrm{a}}^{\mathrm{j}}$ then what will be the value of $(\mathrm{k}+\mathrm{j})$?

Simplify

: $\frac{32m^{3 }{y}^{2 }}{4m^{2 }y}$

Divide

: $15x^{2 }{y}^{3 }$ by $3x^{2 }{y}^{2 }$ ,

Divide

. $8x^2{y}^2$ by $2xy$

On simplifying $\frac{-32p^4{q}^3}{-8p^{2}q}$ we get $4{\mathrm{p}}^{\mathrm{k}}{\mathrm{q}}^{\mathrm{j}}$ then what will be the value of $(\mathrm{k}+\mathrm{j})$?

Divide:

 $y^2-18y+69$ by $(y+5)$,

Divide

: $\left(x^{5 }+y^{5 }\right)$ by $\left(x+y\right)$ ,

Divide:

$\left(3x^{3 }+4x^{2 }+5x+18\right)$ by $\left(x+2\right)$

Divide:

$\left(x^{2 }+9x+20\right)$ by $\left(x+4\right)$ ,