Algebraic Identities

Q. ${(a-b)}^2$ + $4ab$ =

1. $a^2+b^2$
2. $(a+b{)}^2$
3. $a^2-b^2$
4. $a^2-b^2+4ab$

Q. If each side of a square of side '$a$', is doubled, the new area is .

1. $a^2$
2. $a^4$
3. 4$a^2$
4. 4$a^4$

Q. Which of the following regions represents 3x?

1. 
2. 
3. 
4. 

Q. (4pq+3q)2−(4pq−3q)2 =

1. $44p{q}^2$
2. $48p^{2}q$
3. $48p{q}^2$
4. $44p^{2}q$

Q. Using the identities of algebric expressions, the value of ${\left(4.9\right)}^2$ is .

1. 24.01
2. 25
3. 23.6
4. 24.25

Q. $(2y+5)(2y+5)$ =

1. $4y^2+10y+25$
2. $4y^2+20y+25$
3. $4y^2+20y+15$
4. $y^2+20y+25$

Q. Using standard identity, solve:
1010×990 = .

1. $999900$
2. $100000$
3. $990000$
4. $119900$

Q. ($a^2$ + $b^2$) $\times$ (${-a}^2$ + $b^2$) =

1. $-a^4+b^4$
2. $a^2-b^2$
3. $a^4-b^4$
4. $b^4+a^4$

Q. ${(3pq+3qr)}^2-18p{q}^{2}r$ = .

1. $9p{q}^2+9q{r}^2-18p$
2. $9p^{2}q+9p{r}^2-9pq$
3. $9p^2{q}^2+9q^2{r}^2$
4. $9p^2{q}^2+9q{r}^2+9p$

Q. If $x^2$ + $y^2$ = 14 and $xy=3$, the value of

2${(x+y)}^2$ - 5${(x-y)}^2$ is

1. \N
2. 52
3. 106
4. 14