Identity (x+y)^2

Q.

If ${9x}^2+{25y}^2=181$ and xy = - 6. Find the value of 3x + 5y.

1. 3

2. 2

3. -2

4. -1

Q.

If $\frac{3x-4y}{2x-3y}=\frac{5x-6y}{4x-5y}$, find x : y.

1. 1:1

2. 2:2

3. 3:3

4. 4:4

Q.

Expand $(2x-5y-7z{)}^2$.

Q. What kind of a polynomial is $(x+y{)}^2$ ?

1. Trinomial
2. Multinomial
3. Monomial
4. Binomial

Q. Which of the following is equal to $(2x+3y{)}^2$?

1. $4x^2+9y^2$
2. $4x^2+12xy+9y^2$
3. $4x^2-12xy+9y^2$
4. $4x^2+6xy+9y^2$

Q. Which of the following is equal to $4k^2+12km+9m^2$ ?

1. $(2k{)}^2+(3m{)}^2$
2. $(k+3m{)}^2$
3. $(2k+m{)}^2$
4. $(2k+3m{)}^2$

Q. The productof (x+7y)(7x-y) is

1. $7x^2+48xy-7y^2$
2. $7x^2+48xy+7y^2$
3. $7x^2-48xy-7y^2$
4. $7x^2-48xy+7y^2$

Q.

The value of $(3x^2+5y^2)(4xy-5y)$, if $x=2$ and $y=3$ is $513$.

1. True

2. False

Q. Choose the correct pairs such that the product will be $25x^3{y}^{2}z$.

1. $x^{3}y$
2. $25x^3{y}^2$
3. $25x^{2}z$
4. $25yz$
5. $z$
6. $5xz$
7. $x{y}^2$
8. $5x^2{y}^2$

Q. $(3x+2{)}^2-(3x-2{)}^2$ =

1. $x2+2x-4$
2. $24x+25$
3. $24x$

Q. Choose the correct pairs such that the product will be $25x^3{y}^{2}z$.

1. $x^{3}y$
2. $25x^3{y}^2$
3. $25x^{2}z$
4. $25yz$
5. $z$
6. $5xz$
7. $x{y}^2$
8. $5x^2{y}^2$