Identities

Question 1

(x + y)^2

Answer 1

x^2+ 2xy + y^2

Question 2

(x - y)^2

Answer 2

x^2 - 2xy + y^2

Question 3

x^2 – y^2

Answer 3

(x + y) (x – y)

Question 4

(x + a) (x + b)

Answer 4

x^2+ (a + b)x + ab

Question 5

(x + y + z)^2

Answer 5

x^2 + y^2 + z^2 + 2xy + 2yz + 2zx

Question 6

(x + y)^3

Answer 6

x^3 + y^3 + 3xy (x + y)

Question 7

(x - y)^3

Answer 7

x^3 - y^3 - 3xy (x - y)

Question 8

x^3 + y^3 + z^3 – 3xyz

Answer 8

(x + y + z)(x^2 + y^2 + z^2 – xy – yz – zx)

Question 9

x^3 + y^3

Answer 9

[x + y] [x^2 - xy + y^2]

Question 10

x^3 - y^3

Answer 10

[x-y] [x^2 + xy + y^2]