3. Add the following:
(1) x-2y+3xy, y-3x+4yz, z + 4x +8xz
(ii). 3x?y2 - 4xy +4, 6+8xy - 4x?y?
(iii) ab-bcbc-ca, ca - ab
(iv) 12 + m², m? +n?, n+12,21m+2mn+2nl
(v) 8xy +6yz – 4zx, 5yz +10zx - 5y,
- 4x2+6x -3xy
(vi) 6x2-3x + 4, 8x -9, 15x2-11x +10.
10.
Answers
Please mark the answer as brainlist .
1) x-2y+3xy+y-3x+4yz+z+4x+8xz
= x-3x+4x - 2y+y + 3xy+4yz+8xz
=2x - y + 3xy +yz + 8xz
4) 8xy + 6yz - 4zx + 5yz + 10 zx - 5y -4x² + 6x - 3xy
8xy - 3xy + 6yz + 5yz - 4zx + 10zx - 5y - 4x² + 6x ( On arranging)
4x² + 5xy + 11yz + 6zx - 5y + 6x
That's it
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