(a + b)^2 = a^2 + 2ab +b^2

Q.

Factorize the following using appropriate identities: $9x^2+6xy+y^2$.

Q.

Factorise: $9x^2{y}^2-16$.

Q.

Factorise: $4x^2+4xy+y^2$

1. $(2x-y{)}^2$

2. $(4x+y{)}^2$

3. $(x+2y{)}^2$

4. $(2x+y{)}^2$

Q. $5x\times (-4yz)\times 3xz$ =

1. $60xyz$
2. $15x^2{z}^2-4yz$
3. $-60xyz$
4. $-60x^{2}y{z}^2$

Q. $Factorise:16x^2+8xy+y^2$

1. $(4x+y{)}^2$
2. $(8x+y{)}^2$
3. $(4x+2y{)}^2$
4. $(4x+y)$

Q.

If (a + b) = 4 ; then the square of (a + b) =

1. 16

2. 10

3. 64

4. 8

Q. Which of the given region represents $b^2$?

1. 
2. 
3. 
4. 

Q.

Simplify: ${(3pq+3qr)}^2-18p{q}^{2}r$

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

2. $9p^2$$q^2+9q^2$$r^2$

3. $9p^2$$q^2+9q^2$$r^2-9p{q}^{2}r$

4. $9p^2$$q^2+9q^2$$r^2+9p{q}^{2}r$

Q.

Which of the following identity can be used to factorise $x^2-4y^2$?

1. 

2. = (a - b)(a + b)

3. (x + a)(x + b) =

4. None of these

Q.

Evaluate :${101}^2$

1. 10, 201

2. 10, 401

3. 10, 211

4. 10, 209

Q. $Factorise:16x^2+8xy+y^2$

1. $(4x+y{)}^2$
2. $(8x+y{)}^2$
3. $(4x+2y{)}^2$
4. $(4x+y)$

Q.

Simplify $(x+3)(x+5)$.

1. $x^2+6x+9$

2. $x^2+8x+15$

3. $9x^2+6x+9$

4. $x^2+9x+6$

Q. $\text{If}{x}^2+y^2=14\text{and}xy=3,$
then find the value of
$2(x+y{)}^2-5(x-y{)}^2.$

1. 14
2. 0
3. 42
4. - 42

Q.

Using an identity expand :
$(2y+5)(2y+5)$

1. $4y^2+10y+25$

2. $4y^2+20y+25$

3. $4y^2+20y+15$

4. $y^2+20y+25$

Q.

Factorise the given polynomial using suitable identity:

$4y^2-4y+1$