Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Algebraic Identities

Question

Expand the following, using suitable identities: $$(xy + yz)^{2}$$

Open in App

Solution

Verified by Toppr

Using the identity $$(a+b)^{2}=a^{2}+b^{2}+2ab$$
We have, $$(xy + yz)^{2} =(xy)^2+(yz)^2+2(xy)(yz)$$
$$= x^{2}y^{2}+y^{2}z^{2}+2xy^{2}z$$

Was this answer helpful?

14

Similar Questions

Q1

Expand the following, using suitable identities: $$(xy + yz)^{2}$$

View Solution

Q2

Solve this:

Q. Expand the following using suitable identities.

(i)

{(x y + y z)}^{2}

(ii)

{(x^{2} y - x y^{2})}^{2}

View Solution

Q3

Expand the following, using suitable identities: $$(x^{2}y - xy^{2})^{2}$$

View Solution

Q4

Expand the following, using suitable identities: ${(- 2 x + 5 y - 3 z)}^{2}$ .

View Solution

Q5

Question 85 (i)

Expand the following, using suitable identities.

$(x y + y z)^{2}$

View Solution