Algebraic Expressions and Identities-Sample Questions

SAMPLE PAPER
Algebraic Expressions and Identities
1.  Find (2x + 3y)2 using algebraic identities.
2.  Using suitable identities find (1092)2.
3.  Using the identity (a-b)2 = a2 � 2ab + b2, find (5a � 7b)2.
4.  Find 194 * 206 using suitable identity.
5.  Use a suitable identity to find the product of (3a � 1/3)(3a � 1/3).
6.  The length and breadth of a rectangle are 3x2 � 2 and 2x+ 5 respectively. Find its area.