Multiplication of a Monomial and a Binomial

Q.

What is the formula for ${\left(x-y-z\right)}^2$?

Q. $5x(4xy+xyz)$ = _____

1. $20x^{2}y+5x^{2}yz$
2. $20xy+5x^{2}yz$
3. $20x^{2}y+5xyz$
4. $20xy+5x^{2}z$

Q. $x^{-1}y{z}^2(x{y}^{-2}z+x^{2}y{z}^{-2})$ = _____

1. $y^{-1}{z}^3+x{y}^{2}z$
2. $x{y}^{-1}{z}^3+x{y}^2$
3. $y^{-1}{z}^3+x{y}^2$
4. $x{y}^{-1}{z}^3+x{y}^{2}z$

Q.

$a\times (b+c)=a\times b-a\times c$

1. True
2. False

Q. What is the area of the rectangle having a length of (2a + b) cm and breadth of b cm?

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

Q. $8x{y}^2$ is one of the terms of the resulting expression when we multiply $2x{y}^2$ and $4xy+2$.

1. True
2. False

Q. Expansion of $-8(3a+5b)$ yields

1. $-24a-41b$
2. $-22a+80b$
3. $-24a-40b$
4. $20a-30b$

Q.

Which of the following correctly explains distributive law?

1. $a\times (b+c)=b\times a+a\times c$

2. $(a+c)\times b=a\times b+c\times b$

3. $b\times (a+c)=b\times a+b\times c$

4. All of these

Q. The product of $(a+b)$ and 7$a^2$$b^2$ is .

1. 7$a^2{b}^2$
2. 7a3b2+7a2b3
3. $7a^{2}b+7a{b}^2$
4. $7ab+7a^2{b}^2$

Q. The product of a monomial and a binomial is a .

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

Q. Simplify $8(3h-4)+5(h-2)$.

1. $24h-37$
2. $36-4h$
3. $29h-42$
4. $38+42h$

Q. The product of 4xy and 4x + 3y is $16x^{2}y+12x{y}^2$.

1. True
2. False