Here we are providing the tricks how to add the squared numbers this trick is very easy if you have any problem related to any tricks you will contact us.

### TRICK NO 1

Adding Squared Numbers In The Form a2 + (2a)2

This method is very easy since from algebra we know:

a2 + (2a)2 = 5a2

Step first : (a²)

Step second : (5∗a²)

Therefore, you square the smaller number, then multiply by 5 for the answer.
Example (i) 112 + 222 =_________.

Here a is 11 then
(a) 112 = 121.
(b) 121 x 5 = 605.

Ex (ii) 252 + 502 =_________.

Here a is 25 then

(a) 25² = 625.

(b) 625 x 5 = 3125.

TRICK NO 2

Adding Squared Numbers In The Form: a2 + (3a)2

This method is very easy since from algebra we know:

a2 + (3a)2 = 10a2

Therefore, you square the smaller number, then multiply by 10 for the answer.
Ex (iii) 322 + 962 =_________.
(a) 322 = 1024.
(b) 1024 x 10 = 10240.

Ex (iv) 492 + 1472 =_________.

(a) 492 = 2401.
(b) 2401 x 10 = 24010.

TRICK 3:

Adding Squared Numbers In The Form: a2 + (7a)2

This method is very easy since from algebra we know:
a2 + (7a)2 = 50a2

Therefore, you square the smaller number, then multiply by 50 for the answer.
Ex (v) 62 + 422 =_________.
(a) 62 = 36.
(b) 36 x 50 = 1800.

Ex (vi) 152 + 1052 =_________.
(a) 152= 225.
(b) 225 x 50 = 11250.

TRICK 4

Adding Squared Numbers In The Form: a2 + (10a)2

This method is very easy since from algebra we know:

## a2 + (10a)2 = 101a2

Therefore, you square the smaller number, then multiply by 101 for the answer.
Ex (vii) 142 + 1402 =_________.
(a) 142 = 196.

(b) 196 x 101 = 19796.