8xz+6yz-4zx, 5yz+10zx-5y-4xz+6x-3xy
add the following
steps ba step
Answers
Step-by-step explanation:
(i) x increased by 12 is written as x + 12
(ii) y decreased by 7 is written as y – 7
(iii) The difference of a and b, when a > b is (a – b)
(iv) The product of x and y is xy, added to their sum is (x + y)
Hence, the product of x and y added to their sum is (x + y) + xy
(v) One third of x = x / 3
Sum of a and b = (a + b)
∴ One third of x multiplied by the sum of a and b = x / 3 × (a + b)
= x (a + b) / 3
(vi) 5 times x = 5x, seven times y = 7y
∴ 5 times x added to seven times y is written as 7y + 5x
(vii) Sum of x = x
Quotient of y = y / 5
∴ Sum of x and the quotient of y by 5 = x + y / 5
(viii) x taken away from 4 is written as (4 – x)
(ix) Quotient of x by y = x / y
∴ 2 less than the quotient of x by y = (x / y) – 2
(x) x multiplied by itself is x × x = x2
∴ x multiplied by itself is written as x2
(xi) Twice x increased by y is written as (2x + y)
(xii) Thrice x = 3 × x = 3x and y squared = (y × y) = y2
∴ Thrice x added to y squared is written as 3x + y2
(xiii) Twice y = 2 × y = 2y
∴ x minus twice y is written as (x – 2y)
(xiv) x cubed = (x × x × x) = x3 y cubed = (y × y × y ) = y3
∴ x cubed less than y cubed is written as (y3 – x3)
(xv) The quotient of x by 8 is x / 8
∴ The quotient of x by 8 is multiplied by y is written as (x / 8) × y