Addition and Subtraction of Polynomials

Q. Question 32

The value of $(a+b{)}^2+(a-b{)}^2$ is
a) $2a+2b$
b) $2a-2b$
c) $2a^2+2b^2$
a) $2a^2+2b^2$

Q. Subtract $5x^2-4y^2+6y-3$ from $7x^2-4xy+8y^2+5x-3y$.

Q. Simiplify: $(7a-6b+5c{)}^2+(7a+6b-5c{)}^2$

Q. Simplify: $(3k-4r-2m{)}^2-(3k+4r-2m{)}^2$

Q.

Question 84 (x)

Simplify

$(b^2-49)(b+7)+343$

Q. Subtract $8x{y}^2+3x^{2}y+5x-9y+7$ from $7x+y-5x^{2}y-13x{y}^2+11.$

1. $-6x-8y+4x^{2}y+19x{y}^2-4$
2. $-2x-10y+8x^{2}y+21x{y}^2-4$
3. $7x+3y-9x^{2}y-21x{y}^2+4$
4. $2x+10y-8x^{2}y-21x{y}^2+4$

Q. Question 30

The value of $(2x^2+4)÷2$ is
a) $2x^2+2$
b) $x^2+2$
c) $x^2+4$
d) $2x^2+4$

Q.

Question 3(ii)
Simplify:
$(a^2+5)(b^3+3)+5$

Q.

Simplify: ${(3pq+3qr)}^2-18p{q}^{2}r$

1. $9p^2$$q^2+9q^2$$r^2-18p{q}^2$r

2. $9p^2$$q^2+9q^2$$r^2-9p{q}^{2}r$

3. $9p^2$$q^2+9q^2$$r^2$

4. $9p^2$$q^2+9q^2$$r^2+9p{q}^{2}r$

Q. $x^3{y}^2-z{x}^{2}y+x^4{y}^3=$ $\times (xy-z+x^2{y}^2)$

1. $xy$
2. $x^{2}y$
3. $x{y}^2$
4. $x^2{y}^2$

Q.

What should be added to $x^2+3x-8$ to get $x^2+x+6$?

1. $3x^2-8$
2. $x+6$
3. $2x+14$
4. $-2x+14$

Q.

Simplify: ${(a-b)}^2+4ab$

1. +

2. 

3. -

4. - + 4ab

Q. Add the coefficients of the terms of the polynomial $8x–20$.

1. 8
2. –12
3. 28
4. –20

Q.

$[{(5z-2)}^2+40z]÷(5z+2)$

1. 2z + 5

2. 2z - 5

3. 5z - 2

4. 5z + 2

Q.

Simplify: ${(a-b)}^2+4ab$

1. $a^2+b^2$

2. ${(a+b)}^2$

3. $a^2-b^2$

4. $a^2-b^2+4ab$

Q. Let $a^2+b^2-4a+16b+68=0$ then find the value of $a+b$.

Q. (4pq+3q)2−(4pq−3q)2 =

1. $44p{q}^2$
2. $48p^{2}q$
3. $48p{q}^2$
4. $44p^{2}q$

Q. What should be added to $3xy-4a^2+5b^2+2$ to get $-5+4a^2+2b^2-7xy$?

1. $-8a^2-3b^2+10xy+7$
2. $8a^2+3b^2+10xy+7$
3. $-8a^2+3b^2+10xy+7$
4. $8a^2+3b^2-11xy+10$

Q. Simplify $[\frac{4a^2}{3b^3}{]}^{-2}$

1. $\frac{16a^4}{9b^6}$
2. $\frac{9b^6}{16a^4}$
3. $\frac{16b^4}{9a^6}$
4. $\frac{16b^6}{9a^4}$

Q. The sum of two binomials is $5x^2-6x$. If one of the binomial is $3x^2-2x$, what is the other binomial?

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

Q. (4pq+3q)2−(4pq−3q)2 =

1. $44p{q}^2$
2. $48p^{2}q$
3. $48p{q}^2$
4. $44p^{2}q$

Q. Simplify the following:

$\left(i\right)(a^2+b^2+c^2)(2a+3b)$

$\left(ii\right)(p+q)(p^2-pq+q^2)$

Q. $\text{Let}A=3y^2+9x-3x^2,B=6x^2-2y^2+3x,C=9x^2-3xy-y^2.\text{Find A + B - C.}$
(2 marks)

Q.

Add $(3+2y-5y^2+6y^3),(-8+3y+7y^3)$ and $(5-6y-8y^3+y^2)$.

1. $-3y-4y^2+5y^3$

2. $-y-3y^2+5y^3$

3. $-y-4y^2+5y^3$

4. $-y-4y^2+6y^3$

Q.

When $7xy+5yz-3zx,$ $4yz+9zx-4y$ and $-3xz+5x-2xy$ are added, we get ___.

1. $5xy+9yz+3zx+5x-4y$

2. $5xy+9yz+15zx+5x-4y$

3. $5xy+9yz-3zx+5x-4y$

4. $5xy+9yz+3zx-5x-4y$

Q.

If x = -5 and y = -7, what is 222 - (x + y)?

1. 234

2. -234

3. 210

4. -210

Q. What should be added to $1-x+x^2–2x^3$ to get $x^3$?

1. $x^3-x^2+x-1$
2. $-1+x+x^2-3x^3$
3. $3x^3-x^2+x-1$
4. None of these

Q.

What must be subtracted from $4x^3-3x+5$ to get $2x^2-3x^3+5x-2$ ?

1. - - 8x + 7
   

2. + - 8x + 7
   

3. - - 8x + 7
   

4. - - 8x + 3
   

Q.

If we subtract $-4x^{2}y$ from $2x^{2}y$ we get:

1. $6x^2{y}^2$

2. $-6x{y}^2$

3. $6x^{2}y$

4. $-6x^{2}y$

Q. Multiply: $4a$ and $6a+7$.

1. True
2. False