Mathematics : Algebraic Expressions and Identities

Simplify:

(x + y) (x² -xy + y² )

Simplify:

(1.5x - 4y) (1.5x + 4y + 3) - 4.5x + 12y

Simplify:

(a +b + c)(a + b + c)

Find the product of

(i) ( 3a + 4b) and (2a + 3b)

(ii) ( x - 4) and ( 2x +3)

Multiply : ( x - y) and ( 3x + 5y)

Multiply :

(i) (a + 7) and ( b -5)

(ii) ( a² + 2b² )9 and ( 5a - 3b)

Simplify :

(i)  (a + 7) (a² + 3a + 5)

(ii) (a + b) (2a - 3b + c) - (2a - 3b)c

Verify Identity (IV), for a = 2, b = 3, x = 5.

Consider the special case of Identity (IV) with a = b, what do you get? Is it related to Identity (1)?

Consider, the special case of Identity (IV) with a = –c and b = –c. What do you get? Is it related to Identity (II)?