Addition and Subtraction of Algebraic Expression

Q. Question 88 (xvi)

Factorise the following expression.

$(a{x}^{2}y-bxyz-a{x}^{2}z+bx{y}^2$

Q.

The sum of $\mathrm{x}$ and $\mathrm{y}$ is $\mathrm{x}+\mathrm{y}$. State whether the statement given is true or false.

1. True
2. False

Q. $\text{Subtract:}2x^2+6-4x\text{from}3x^2-6x+8.$

1. $x^2-8x+2$
2. $x^2-2x+2$
3. $x^2+2x+2$
4. $2x^2-2x+2$

Q.

A magic triangles is formed using number 1 to 9 and sum of sides is 19, then what is the value of a, b, c?

Q. Monu is 4 years elder than Sonu. If Monu's age after 4 years will be 12 years, what is the present age of Sonu?

Q. is added to (a +b) to get (3a +2b).

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

Q. Do the following subtractions as directed.
Subtract the sum of $(a^2-3a)$ and $7$ from the sum of $3a^2$ and $2a-2$

1. $2a^2+5a-9$
2. $-2a^2+5a+9$
3. $4a^2-5a+9$
4. $4a^2+5a+9$

Q. Which of the following term is not like $4xyz$?

1. $4xy$
2. $-zyx$
3. $18xyz$
4. $\frac{2}{2}zyx$

Q. The water requirement for the crops is
10 mm per day, in summer. In winter, it requires the reciprocal of the quantity needed in summer. Find how much water is needed in winter.

1. $\frac{1}{5}$ mm
2. $\frac{1}{10}$ mm
3. $\frac{1}{2}$ mm
4. 20 mm

Q. $(9x+5y)(4x+3y)$

1. $36x^2+20xy+15y^2$
2. $15x^2+47xy+36y^2$
3. $47x^2+36xy+15y^2$
4. $36x^2+47xy+15y^2$

Q. Subtract the sum of $5y^2+y-3$ and $y^2-3y+7$ from $6y^2+y-2$.

Q. The water requirement for the crops is
10 mm per day, in summer. In winter, it requires the reciprocal of the quantity needed in summer. Find how much water is needed in winter.

1. $\frac{1}{5}$ mm
2. $\frac{1}{10}$ mm
3. $\frac{1}{2}$ mm
4. 20 mm

Q. Simplify $(1.5x-4y)(1.5x+4y+3)-4.5x+12y$

1. $2.25x^2-16y^2$
2. $2.25x^2+16y^2$
3. $12.25x^2-16y^2$
4. $0.25x^2+16y^2$

Q. Subtract $(4y^2+2y+5)$ from $(2y-1)$.

Q. The sum of $3ab,-8ab$ and $5ab$ is equal to

1. $10ab$
2. $16ab$
3. $ab$
4. $0$