Question

all the polynomial identities for 9 class​

Answer 1

Answer:

1) ( x + y )2 = x2 + 2xy +y2

2) ( x – y) 2 = x2 – 2xy + y2

3) (x + y)(x – y) = x2 – y2

4) (x + a)(x + b) = x2 +(a + b)x + ab.

5) (x + y) 3 = x3 + 3x2y + 3xy2 + y3 = x3 + y3 +3xy(x +y)

6) (x - y) 3 = x3 - 3x2y + 3xy2 - y3 = x3+ y3 -3xy(x –y)

Answer 2

Answer:

x + y)2 = x2 + 2xy + y2

(x – y)2 = x2 – 2xy + y2

x2 – y2 = (x + y) (x – y)

(x + a) (x + b) = x2 + (a + b)x + ab.

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx

(x + y)3 = x3 + y3 + 3xy(x + y)

(x – y)3 = x3 – y3 – 3xy(x – y)

x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)