Multiplication of a Binomial by a Monomial

Q.

Question 5(d)
Substract: $3a(a+b+c)-2b(a-b+c)from4c(-a+b+c).$

Q.

Question 4(iii)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
$xy,2x^{2}y,2x{y}^2$

Q.

What should be the answer if we multiply 4ab and 5bc also 2l²m 3lm².

Q.

Question 4 (iii)

Subtract $4p^{2}q-3pq+5p{q}^2-8p+7q-10from18-3p-11q+5pq-2p{q}^2+5p^{2}q.$

Q.

Question 47

In the question given below, fill in the blank to make the statement true:

Volume of a rectangular box with length 2x, breadth 3y and height 4z is ___.

Q.

Simplify the following expression

7(4a-3)-3a{8-2a(1+2a)}

Q. Add the following:

$\left(i\right)5a^2{b}^2+10ab-12a^2+15b-20$ and $34ab+24a^2+22b+24$

$\left(ii\right)abc+6bcd+abd-9ab+4bc-9a-43$ and $4acd+10ac-54b-32c$

$\left(iii\right)5bc+9ad-3c-12$ and $24-5c-5b+2ab$

Q.

Simplify:

(2xy + 4yz + 9) - (3yz - 3xy - 1)

1. xy + yz + 10

2. xy - yz + 10

3. -xy + yz + 10

4. -xy + yz

Q.

Question 82 (vi)

Subtract

7p(3q + 7p) from 8p(2p - 7q)

Q.

Find the product of $11x{y}^{2}and-8x{y}^3$.

1. $-88x^2{y}^5$

2. $-80x^2{y}^5$

3. $-88x^3{y}^5$

4. $-80x^2{y}^4$

Q.

Which of the following pair of terms can be categorized as pair of like terms?

1. 8x²y, -12yx²

2. -8x, 7x²

3. 7x, 12xy

4. 17ab², 17a²b

Q. A rectangular box having length, breadth and height as $(a+b+c),(a^2+b^2)and(2a+2b+2c)$ respectively. Find the volume of the box.

Q. Match the following with the result of their multiplication.

1. $8x^2{y}^2$
2. $8x{y}^2$
3. $12x^{2}y$
4. $16x^{2}y+8x{y}^2$

Q.

The L.C.M. of $9x^2+6x+1,3x^2+7x+2and2x^2+3x-2$ is $(x+a)(2x-b)(3x+c{)}^2$. Then the value of $a-b-c=?$

1. $3$

2. $6$

3. $0$

4. $9$

Q. The product of
$(2a+b)\text{and}5a^2{b}^{2}is$ .

1. $5a^3{b}^2+5a^3{b}^3$
2. $10a^3{b}^2+5a^2{b}^3$
3. $15a^3{b}^2$
4. $5a^3{b}^2+5a^2{b}^3$

Q. Match the following expressions with their products.

1. $18x^2+9x$
2. $18x^{3}y$
3. $-12x^2$

Q. Tick (✓) the correct answer:
ab − mn + an − bm = ?
(a) (a − b)(m − n)
(b) (a − m)(b + n)
(c) (a − n)(m + b)
(d) (m − a)(n − b)

Q. Find the value of $-24x^{2}y(2x-3y)$ when, $x=2$ and $y=3$.

1. 1252
2. 1440
3. 1550
4. 1456

Q. The length, breadth and height of the rectangular box is $3xy,(4x^{2}y+2x)and2z$ m respectively. Find the volume of the rectangular box.

1. $(12x^3{y}^{2}z+12x^{2}yz)m^3$
2. $(24x^3{y}^{2}z+12x^{2}yz)m^3.$
3. $(24x^3{y}^{2}z+24x^{2}yz)m^3.$
4. $(12x^3{y}^{2}z+24x^{2}yz)m^3.$

Q.

Add:
$8ab,-5ab,3ab,-ab$

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. Find the product of $(6x-4y^2)$ $\left(7xy\right)$.

1. $42x{y}^2-28x{y}^3$
2. $21x{y}^2-14x{y}^3$
3. $42x^{2}y-28x{y}^3$
4. $21x^{2}y-14x{y}^3$

Q.

Subtract:

$\left(i\right)5ab+4ac-6a+15c-15$ from $10ab+22bc-13a-14b-16c-24$

$\left(ii\right)5a^{2}b+10b^2{c}^2-10b^{2}c-21ab+32$ from $50-20b^2{c}^2-4bc-ac-5ab$. [2 MARKS]

Q. Subtract:

$\left(i\right)5ab+4ac-6a+15c-15$ from $10ab+22bc-13a-14b-16c-24$

$\left(ii\right)5a^{2}b+10b^2{c}^2-10b^{2}c-21ab+32$ from $50-20b^2{c}^2-4bc-ac-5ab$.

Q.

w² - 4u² =

1. (w - 2u) (w + 2u)

2. (w - 2u) ( w - 2u)

3. (w + 2u) (w + 2u)

4. (w - 2u)

Q.

Add following.
(i) $ab-bc,bc-ca,ca-ab$
(ii) $a-b+ab,b-c+bc,c-a+ac$
(iii) $2p^2{q}^2-3pq+4,5+7pq-3p^2{q}^2$
(iv) $l^2+m^2,m^2+n^2,n^2+l^2,2lm+2mn+2nl$

Q. Subtract:
3a²b from −5a²b

Q.

A rectangular box having length, breadth and height as $(a+b+c),(a^2+b^2)and(2a+2b+2c)$ respectively. Find the volume of the box. [4 MARKS]

Q. $\text{Find the value of}-24x^{2}y(2x-3y)$
$\text{when,}x=2\text{and}y=3$.

1. 1252
2. 1456
3. 1440
4. 1550

Q. What is the resultant polynomial obtained when the given polynomials $\left(a^3\right)$ and $(51c{b}^2+14abc)$ are multiplied?

1. $51c{b}^2{a}^3+14a+a^{4}bc$
2. $51abc+14a^{3}bc$
3. $51cb{a}^2+14a^{3}bc$
4. $51a^3{b}^{2}c+14a^{4}bc$