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 = z2
(iv) Products of two numbers p and q = p × q = pq
So one - fourth of the above quantity is 
(v) Square of no x : x22
Square of no y : y2
Addition of squares of x and y = x2 + y2
(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