EASY
Earn 100

Find the product of the following monomials.

kl, lm, km, klm

Important Questions on Algebraic Operations

MEDIUM

Express the following product as a monomial and verify the result for x=1

3x×4x×(-5x)

HARD

Complete the table of products:

First monomialSecond monomial 2x -5y 3x2 -4xy 7x2y2 -9x2y2
2x 4x2          
-5y     -15x2y      
3x2            
-4xy            
7x2y2            
-9x2y2            

 

MEDIUM

Express the following product as a monomials and verify the result for x=1, y=2.

25a2b×-15b2ac×-12c2

MEDIUM
Evaluate 2.3a5b2×(1.2a2b2) when a=1 and b=0.5.
MEDIUM

Express the following product as a monomial and verify the result for x=1

4x2×-3x×45x3

MEDIUM
What is the product of 6abc+2ab and -ab-10abc?
MEDIUM

Find the product of the following pairs of monomials.

4 and 7p

MEDIUM

Express the following product as a monomial and verify the result for x=1, y=2

-xy3×yx3×(xy)

MEDIUM
The volume of a cube is given by 27a3-54a2+36a-8. If each of its sides is (3 a-2), find the area of one of its faces by dividing the volume by the side, and verify it by finding the square of the side.
MEDIUM

Express the following product as a monomial and verify the result for x=1, y=2.

18x2y4×14x4y2×xy×5

MEDIUM

Express the following product as a monomial and verify the result for x=1, y=2.

-47a2b×-23b2c×(-76c2a)

MEDIUM
Write down the product of -8x2y6 and -20xy. Verify the product for x=2.5, y=1.
MEDIUM
Simplify 3x4x-5+3 and find the value for x=3
 
MEDIUM

Express the following products as a monomial and verify the result for x=1

5x4×x23×2x2

EASY

Find the area of rectangle with the following pair of monomials as its length and breadth respectively.

(p, q)

MEDIUM

Obtain the volume of rectangular box with the following length, breadth and height respectively.

5a, 3a2, 7a4

MEDIUM

Express the following products as a monomial and verify the result for x=1

x23×2x×-4x×(5)

MEDIUM

Express the following products as a monomial and verify the result for x=1, y=2.

49abc3×-275a3b2×(-8b3c)