Value (x – y)3 + (y – z)3 + (z – x)3 is(1) (x – y)3 (y – z)3

1.	Value (x – y)3 + (y – z)3 + (z – x)3 is(1) (x – y)3 (y – z)3 (z – x)3 (2) 3 (x – y) (y – z) (z – x)(3) x3 + y3 + z3 – 3xyz (4) x3 + y3 + z3 – 2x2y – 2y2z – 2z2x.
Answer» Correct option: (2) 3 (x – y) (y – z) (z – x) Explanation: Let a = x - y b = y - z c = z - x a + b + c = x - y + y - z + z - x = 0 ∴ a³ + b³ + c³ = 3abc (x - y)³ + (y - z)³ + (z - x)³ = 3(x - y) (y - z) (z - x)

Value (x – y)3 + (y – z)3 + (z – x)3 is(1) (x – y)3 (y – z)3 (z – x)3 (2) 3 (x – y) (y – z) (z – x)(3) x3 + y3 + z3 – 3xyz (4) x3 + y3 + z3 – 2x2y – 2y2z – 2z2x.

Answer»

Correct option: (2) 3 (x – y) (y – z) (z – x)

Explanation:

Let a = x - y

b = y - z

c = z - x

a + b + c = x - y + y - z + z - x = 0

∴ a³ + b³ + c³ = 3abc

(x - y)³ + (y - z)³ + (z - x)³ = 3(x - y) (y - z) (z - x)

Discussion

No Comment Found

Related InterviewSolutions

Emperor Menelik was the ruler of which African Country? (A) Ethiopia (B) Cape Colony (C) Kenya (D) Uganda
Match the followingCOLUMN – ICOLUMN – IIaHundred Days of Reform(i)1832bRussian Revolution(ii)1898cFirst Opium War(iii)1911dThe Chinese Revolution(iv) 1917(A) (a) – (iv), (b) – (iii), (c) – (ii), (d) – (i) (B) (a) – (iv), (b) – (i), (c) – (ii), (d) – (iii) (C) (a) – (ii), (b) – (iv), (c) – (i), (d) – (iii) (D) (a) – (ii), (b) – (iii), (c) – (i), (d) – (iv)
Which statement is “False” with regard to Volcanoes? (A) Volcanic materials enrich the soil fertility (B) Hot volcanic region helps in generating tidal energy (C) Volcanoes are the most attractive tourist spots of the world (D) Volcanic eruption causes earthquakes
From a tower of height 20 m a boy throws a stone in the vertically upward direction with a velocity of 40 m/s and at the same time a girl drops another identical stone from the same tower. When the momentum of the stone dropped by the girl is maximum what will be displacement of the stone projected in the upward direction from the top of the tower? (Take acceleration due to gravity of earth as 10 m/s2) (A) 60 m (B) 40 m (C) 20 m (D) 0 m
How much more is the sum of the first 40 terms of the arithmetic sequence 11, 21, 31 … then the sum of the first 40 terms of the arithmetic sequence 12, 23, 34…? (1) 1600 (2) 820 (3) 780 (4) 40
Using the digits 1, 2, 3, 4, 5 without repetition, 120 five – digit numbers can be made. How many five – digit numbers can be made using the digits 0, 1, 2, 3, 4 without repletion? (1) 120 (2) 100 (3) 96 (4) 24
Lithium is generally used as an electode in high energy density batteries. This is because (a) Lithium is the lightest of all metals (b) Lithium has quite high negative reduction potential (c) Lithium is quite reactive (d) Lithium does not corrode easily
‘Communal Awards’ (1932) in India was declared by (a) Lord Irwin (b) Ramsay Macdonald (c) Md. Ali Zinnah (d) Lord Mountbatten
Mudra Yojana provides financial assistance to (1) Exports only (2) Big industrialists only (3) Micro and small entrepreneurs (4) Scientific experiment
Fiscal deficit may leas to (a) Increased debt (b) Interest payments obligation (c) Current account deficit (d) Capital formation alone (1) a, b and c are correct (2) c and d are correct (3) b and c are correct (4) only d is correct

Value (x – y)3 + (y – z)3 + (z – x)3 is(1) (x – y)3 (y – z)3 (z – x)3 (2) 3 (x – y) (y – z) (z – x)(3) x3 + y3 + z3 – 3xyz (4) x3 + y3 + z3 – 2x2y – 2y2z – 2z2x.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment