Mathematical Operators

Q. Subtract $-5a^2-2a+1$ from the sum of $4a^2+3-7a$ and $8a-7$

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

Q. $3a-[4a-\overline{3a-5b}-3\{2a-(3a-\overline{2a-3b})\left\}\right]$ =

1. $-a-14b$
2. $11a-14b$
3. $5a+14b$
4. $-a+14b$

Q. If the remainder when $x^3+2x^2+3x+1$ is divided by $x^2+x+1$ is $ax+b$, then what is the value of $a+b$?

1. 1
2. -1
3. 2
4. 0

Q. By how much is $3x^3-2x^{2}y+5x{y}^2-y^3$ less than $4x^3-3x^{2}y-7x{y}^2+2y^3$ ?

1. $x^3-x^{2}y-12x{y}^2+3y^3$
2. $x^3+x^{2}y+12x{y}^2-3y^3$
3. $7x^3-5x^{2}y-2x{y}^2+y^3$
4. $x^3-x^{2}y+12x{y}^2-4y^3$

Q.

Add $x^2-y^2-1,y^2-1-x^2$ , and $1-x^2-y^2$
[2 marks]

Q. From the sum of $4+3x$ and $5–4x+2x^2$, subtract the sum of $3x^2–5x$ and $–x^2+2x+5$. What is the final result?

1. $9x+4$
2. $2x+6$
3. $2x+4$
4. $2x$

Q.

Simplify $(-4x^2-2xy+9y^2)-(3x^2-3xy+7y^2)$

1. -7x⁴ + x²y² + 2y⁴

2. -7x² + xy + 2y²

3. 15x²y² + xy

4. 7x² – 5xy + 16y²

Q.

Subtract

$3t^4-4t^3+2t^2-6t+6from-4t^4+8t^3-4t^2-2t+11$

Q.

Subtract:

(1) $4x^2$ and $-6x{y}^2$

(2) $6x^3$ and $-2x^3$

(3) $9xyand5xy$

(4) $-7x^3$ and $-8x^{3}y$

1. (1) $4x^2+6x{y}^2$
   (2) $8x^3$
   (3) 4xy
   (4) $-7x^3+8x^{3}y$
2. (1) $4x^{2}y-6x{y}^2$
   (2) $4x^3$
   (3) -4xy
   (4) $-7x^3-8x^{3}y$
3. (1) $10x^{2}y$
   (2) $4x^3$
   (3) 4xy
   (4) $-7x^3+8x^{3}y$
4. none

Q. $3a-[4a-\overline{3a-5b}-3\{2a-(3a-\overline{2a-3b})\left\}\right]$ =

1. $-a-14b$
2. $11a-14b$
3. $5a+14b$
4. $-a+14b$

Q. + , - , $\times$, $÷$ are arithmetic operators

1. False
2. True