Question

Divide $36xy{{z}^{2}}$ by $-9xz$.

Answer 1

Hint: The given equation is algebraic expression. We have to divide $36xy{{z}^{2}}$ by $-9xz$. First we write the expressions in the form of division which is $\dfrac{\text{Dividend}}{\text{divisor}}$. Then, we simply perform the division operation by eliminating common terms on both sides of the fraction line to get the desired answer.

Complete step-by-step answer:
We have been given an algebraic expression $36xy{{z}^{2}}$.
We have to divide the $36xy{{z}^{2}}$ by $-9xz$.
Now, first we will write the expression in the form $\dfrac{\text{Dividend}}{\text{divisor}}$ .
Here, we have Dividend $36xy{{z}^{2}}$ and divisor $-9xz$.
So, we have $\dfrac{36xy{{z}^{2}}}{-9xz}$
As the expression is a set of variables and constants, we have to divide the constant terms by constant and variable terms by variables.
Let us start performing division-
Now, cancel the $x$ as it appears on both sides of the fraction line, we get
$\Rightarrow \dfrac{36y{{z}^{2}}}{-9z}$
Now, we can write the above expression as
$\Rightarrow \dfrac{9\times 4yz\times z}{-9z}$ As we know that $36=9\times 4$ and ${{z}^{2}}=z\times z$
Now, cancel out the common terms appears on both sides of the fraction line, we get
$\Rightarrow \dfrac{4yz}{-1}$
Or we can write
$\dfrac{36xy{{z}^{2}}}{-9xz}=-4yz$
So, when we divide $36xy{{z}^{2}}$ by $-9xz$the quotient will be $-4yz$.

Note: An algebraic expression is a set of integers, constants, variables and mathematical operations like addition, subtraction, division multiplication. A constant does not change its value and remains the same but a variable can change its value depending on the equation. Constants are usually represented by numbers and variables are usually represented by alphabets. In the given equations $36,9$ are constant terms and $x,y,z$ are variable terms.