Finding Square of a Number Using (a+b)^2 Identity

Q.

Evaluate the following without actual multiplication : ${\left(58\right)}^2$

Q. What are the last two digits in the square of 39?

1. 21
2. 11
3. 41
4. 31

Q. Divide : $20(y+4)(y^2+5y+3)÷5(y+4)$

1. $y^2+5y+3$
2. $4(y^2-5y+3)$
3. $(y^2-5y+3)$
4. $4(y^2+5y+3)$

Q.

Evaluate the following without actual multiplication : ${\left(298\right)}^2$

Q. If $x+y=5$ and $x^2+y^2=111$. then value of $x^3+y^3$ is

1. $770$
2. $227$
3. $555$
4. $115$

Q. State true or false:

1. True
2. False

Q.

Use the short cut method to find $(110{)}^2$.

1. 13100

2. 12200

3. 12100

4. 12300

Q. Square of number 37 can be found in two steps.



What is a?

1. 50

2. 75

3. 25

4. 100

Q.

Fill in the blanks:- $6^2$ + $7^2$ + $($__${)}^2$ = ${43}^2$