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.

(vii) Product of number y and z subtracted from 10.

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

(i) y - z

(ii) sum of numbers x and y = x + y

One half of the sum of numbers x and y =

(iii) z × z = z^{2}

(iv) Products of two numbers p and q = p × q = pq

So one - fourth of the above quantity is

(v) Square of no x : x^{22}

Square of no y : y^{2}

Addition of squares of x and y = x^{2} + y^{2}

(vi) Product of m and n = m × n = mn

Three times of product of m and n = 3 × mn = 3mn

Five added to three times of product of m and n = 3mn + 5

(vii) Product of number y and z = xy

Product of number y and z substracted from 10 = 10 - xy

(viii) Sum of numbers a and b = a + b

Products of numbers = ab

Subtraction of sum from product = ab - (a + b) or ab - a - b

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