Algebraic Identity: (x + y)^2

Q. The expression $(2x-5y{)}^2$ is equal to

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

Q. The expression $(4a+3b{)}^2$ is equal to

1. $6a^2+24ab+9b^2$
2. $16a^2+24ab+9b^2$
3. $16a^2+4ab+9b^2$
4. $16a^2+14ab+9b^2$

Q. The value of $(x+y{)}^2$ , $x\ne 0$ and $y\ne 0$ would be $0$ when

1. $x=y=0$
2. $x=-y$
3. $x=2y$
4. $x=-2y$

Q. $(x+y{)}^2$ can be visualized as

1. Area of a rectangle whose length and breadth are $x+y$ and $x-y$ respectively.
2. Area of a rectangle whose length and breadth are $x-y$ and $x+y$ respectively.
3. Area of a square whose side is $x+y$
4. Area of a square whose side is $x-y$

Q. The expansion of the bracket $(x+y{)}^2$ would be equal to $x^2+y^2+2xy$.

1. Yes
2. No

Q. $(x+y{)}^2$ would be equivalent to

1. $x^2+y^2$
2. $x^2+y^2+2xy$
3. $x^2-y^2$
4. $x^2+y^2-2xy$

Q. Find the value of ${12}^2$ using a suitable identity.

1. $100$
2. $4$
3. $40$
4. $144$

Q. Match the followings

1. $(100+5)(100+5)$
2. ${100}^2-1^2$
3. $7y(2y^2+x)$
4. $5x^2$

Q. If $x+\frac{1}{x}=3$, then find the value of

$x^2+\frac{1}{x^2}$.

1. $9$
2. $8$
3. $7$
4. $11$