# MULTIPLYING MONOMIALS BY MONOMIALS WORKSHEET

## About "Multiplying monomials by monomials worksheet"

Multiplying monomials by monomials worksheet :

Here we are going to see some practice questions on multiplying monomials by monomials.

## Multiplying monomials by monomials worksheet - Practice questions

(1)  Find the product of the following monomials

4ab, 3a2 b2, 2a3 b3

(2)  Find the product of the following monomials

-7x and 3y

(3)  Find the product of the following monomials

(3/7) x5 and (14/9) x2

(4)  Find the product of the following monomials

xyz and x2yz

(5)  Find the product of the following monomials

x3y5 and xy2

(6)  Find the product of the following monomials

a2 b2 cand abc2

## Multiplying monomials by monomials worksheet - Solution

Question 1 :

Find the product of the following monomials

4ab, 3a2 b2, 2a3 b3

Solution :

To find the product of the above monomials, first let us multiply the coefficients of the given monomials.

=  4ab ⋅  3a2 b2 2a3 b3

=  4(3)(2) a ⋅ a⋅ a⋅ b2 ⋅ b3

=  24 a(1 + 2 + 3) ⋅ b(1 + 2 + 3)

=  24 a⋅ b6

Question 2 :

Find the product of the following monomials

-7x and 3y

Solution :

To find the product of the above monomials, first let us multiply the coefficients of the given monomials.

=  -7x  3y

=  -7(3) x y

=  -21 xy

Question 3 :

Find the product of the following monomials

(3/7) x5 and (14/9) x2

Solution :

To find the product of the above monomials, first let us multiply the coefficients of the given monomials.

= (3/7) x5  (14/9) x2

=  (3/7)  (14/9) x5x2

=  (2/3) x(5 + 2)

=  (2/3)x7

Question 4 :

Find the product of the following monomials

xyz and x2yz

Solution :

To find the product of the above monomials, first let us multiply the coefficients of the given monomials.

Here we don't have coefficients for any terms. So we have to combine the like terms.

=  xyz  x2yz

=  x ⋅ xy ⋅ y z ⋅ z

= x(1+2) y(1+1)z(1+1)

= x3 y2z

Question 5 :

Find the product of the following monomials

x3y5 and xy2

Solution :

To find the product of the above monomials, first let us multiply the coefficients of the given monomials.

=  x3y5 ⋅ xy2

=  x3 ⋅ x y⋅ y2

=  x(3 + 1) y(5+2)

=  xy7

Question 6 :

Find the product of the following monomials

a2 b2 c3 and abc2

Solution :

To find the product of the above monomials, first let us multiply the coefficients of the given monomials.

=  a2 b2 c ⋅  abc2

=  a2 ⋅ a b⋅ b ⋅ c⋅ c2

=  a(2+1) b(2+1)c(3+2)

=  a3 b3c5

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