# Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.$(i)$ Subtraction of $z$ from $y$.$(ii)$ One-half of the sum of numbers x and y.$(iii)$ The number z multiplied by itself.$(iv)$ One-fourth of the product of numbers p and q.$(v)$ Numbers x and y both squared and added.$(vi)$ Number 5 added to three times the product of numbers m and n.$(viii)$ Product of numbers y and z subtracted from 10.$(viii)$ Sum of numbers a and b subtracted from their product.

#### Complete Python Prime Pack

9 Courses     2 eBooks

#### Artificial Intelligence & Machine Learning Prime Pack

6 Courses     1 eBooks

#### Java Prime Pack

9 Courses     2 eBooks

To do: To get the algebraic expressions in the given cases using variables, constants, and arithmetic operations.

Solution:

$(i)$: Subtraction of $z$ from $y$.

$y-z$

$(ii)$: One-half of the sum of numbers $x$ and $y$.

$\frac{1}{2}(x+y)$ or $\frac{x+y}{2}$

$(iii)$: The number $z$ multiplied by itself.

$z\times z=z^2$

$(iv)$: One-fourth of the product of numbers $p$ and $q$.

$\frac{1}{4}pq$ or $\frac{pq}{4}$

$(v)$: Numbers $x$ and $y$ are both squared and added.

${x^2+y^2}$

$(vi)$: Number $5$ added to three times the product of numbers $m$ and $n$.

$3mn+5$

$(viii)$: Product of numbers $y$ and $z$ subtracted from $10$.

$10-yz$

$(viii)$: Sum of numbers a and b subtracted from their product.

$ab-(a+b)$
Updated on 10-Oct-2022 13:38:09