Algebraic Identities

Author:Nagaland Board Of School Education
9th Nagaland Board
IMPORTANT

Important Questions on Algebraic Identities

MEDIUM
IMPORTANT

Use suitable identity, find the product of y2+32y2-32.

EASY
IMPORTANT

Expand, using suitable Identities: -2x+5y-3z2.

MEDIUM
IMPORTANT

What are the possible expressions for the dimension of the cuboids whose volume is given below?

Volume =12ky2+8ky-20k.

MEDIUM
IMPORTANT

Give possible expressions for the length and breadth of the following rectangle, in which the area is given: 35y2+13y-12.

MEDIUM
IMPORTANT

Without actually calculating the cubes, find the value of the following: 283+-153+-133.

MEDIUM
IMPORTANT

Without actually calculating the cubes, find the value of the following: -123+73+53.
 

EASY
IMPORTANT

Factorise the following: 64m3-343n3.

EASY
IMPORTANT

Verify: x3-y3=x-yx2+xy+y2.

MEDIUM
IMPORTANT

Factorise the following: 27p3-1216-92p2+14p.

MEDIUM
IMPORTANT

Factorise the following: 64a3-27b3-144a2b+108ab2

MEDIUM
IMPORTANT

Factorise the following: 27-125a3-135a+225a2.

EASY
IMPORTANT

Factorise the following: 8a3-b3-12a2b+6ab2.
 

EASY
IMPORTANT

Evaluate using suitable identities: 993.
 

EASY
IMPORTANT

Evaluate the following using suitable identities: 1023

EASY
IMPORTANT

Evaluate the following using suitable identities: 9983.

EASY
IMPORTANT

The expanded form of the cube x-23y3 is x3-k x2y+43xy2-8x27y3. Find the value of k.

EASY
IMPORTANT

The expanded form of the cube 32x+13 is 278x3+k x24+9x2+1. Find the value of k.

EASY
IMPORTANT

The expanded form of the cube 2a-3b3 is 8a3-36a2b+k ab2-27b3. Find the value of k.

EASY
IMPORTANT

The expanded form of the cube (2x+1)3 is 8x3+k x2+6x+1. Find the value of k.

HARD
IMPORTANT

Factorise: 2x2+y2+8z2-22xy+42yz-8xz