Multiplication of Three or More Monomials

Q.

Find the value of $a$ and $c$, if
$\left(i\right)8a={35}^2-{27}^2$

$\left(ii\right)p{q}^{2}c=(4pq+3q{)}^2-(4pq-3q{)}^2$

1. $a=62,c=48$
2. $a=60,c=48$
3. $a=62,c=46$
4. $a=62,c=38$

Q. If the value of $p=3x^{2}y,q=5y\text{and}r=2x^2$,
then find the value of $\frac{pqr}{10}$.

1. $6x^2{y}^2$
2. $3x^2{y}^2$
3. $6x^4{y}^2$
4. $3x^4{y}^2$

Q. Find the continued product:
$(x-1)(x+1)(x^2+1)(x^4+1)$

Q.

Question 51

Volume of a rectangular box with $l=b=h=2x$ is ___

Q. Question 9

Product of the following monomials $4p,-7q^3,-7pq$ is
a) $196p^2{q}^4$
b) $196p{q}^4$
c) $-196p^2{q}^4$
d) $196p^2{q}^3$

Q. Express the following product as a monomial and verify the result in case for x = 1.
(x²)³ × (2x) × (−4x) × (5).

Q.

Question 5(iv)
Obtain the product of:
a, 2b, 3c, 6abc

Q. Product of $4p,-7q^3,-7pq$ is ____.

1. $196p^2{q}^4$
2. $-196p^2{q}^4$
3. $49p^2{q}^4$
4. $206p^2{q}^4$

Q.

Multiply the following binomials by monomials

$(a-b)\times 4a$

Q. Multiply $\left(3x^3\right)\times \left(6x^{2}y\right)\times \left(2x^{2}y{z}^3\right)$.

1. $18x^6{y}^3{z}^3$
2. $36x^7{y}^2{z}^3$
3. $36x^6{y}^3{z}^3$
4. $18x^7{y}^2{z}^3$

Q. Find the product of
$5abc,7a{b}^{2}and-2a^3.$

1. $-35a^6{b}^{3}c$
2. $-70a^5{b}^{3}c$
3. $-70a^6{b}^3{c}^2$
4. $-35a^6{b}^3{c}^2$

Q. Question 4(iv)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
a, 2b, 3c

Q. Volume of a rectangular box with $l=b=h=3x$ m is .

1. $16x^3{m}^3$
2. $9x^3{m}^3$
3. $27x^3{m}^3$
4. $8x^3{m}^3$

Q. Question 12

Product of $6a^2-7b+5ab$ and $2ab$ is
a) $12a^{3}b-14a{b}^2+10ab$
b) $12a^{3}b-14a{b}^2+10a^2{b}^2$
c) $6a^2-7b+7ab$
d) $12a^{2}b-7a{b}^2+10ab$

Q.

Find the volume of rectangular boxes with the following length, breadth and height respectively

$\left(i\right)(a^2,a^3,a^4)$

$\left(ii\right)(x^2{y}^2,xz,z^4)$ [2 MARKS]

Q. Factors of $8x^3+27y^3$ are:

1. $(x+2)(x^2-2x+4)$
2. $(3x+4)(a{x}^2-12x+16)$
3. $(2x+3y)(4x^2-6xy+9y^2)$
4. $(x-1)(x^2+4x+7)$

Q. Find the product of $6x,-12x,x^{2}y,3y^2$.

1. $-108x^3{y}^2$
2. $-216x^4{y}^3$
3. $-2160x^5{y}^7$
4. $-1080x^{2}y$

Q. State whether the statement is True or False.
$(xy+4)(xy-4)$ is equal to $x^2{y}^2-16$.

1. True
2. False

Q. The degree of the quotient when $6x^3+3x$ is divided by 3x is ___

Q.

Question 4(i)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
$5a,3a^2,7a^4$

Q. $5a,3a^2,7a^4$

1. $105a^7$
2. $115a^7$
3. $115a^9$
4. $105a^8$

Q. Find the value of $\left(6x^6\right)\times (-2x^2{y}^3)\times (-24x{y}^2)$, when x = 1 and y = 2.

1. 8966
2. 9216
3. 9612
4. 8536

Q.

Question 2(i)
Find the product :
$(5-2x)(3+x)$

Q. Evaluate: $(4n^2-2+3n)(10n+n^3)$

1. $4n^5+3n^4+38n^3-30n^2-20n$
2. $4n^5+3n^4+38n^3+30n^2-20n$
3. $n^5+3n^4+38n^3+30n^2-20n$
4. $4n^5+3n^4+38n^3+30n^2-20$

Q. Multiply $15x{y}^2$ and $17y{z}^2$

Q. Expand:
$(5a-3b+c{)}^2$

Q. Carry out the multiplication of the expressions in the following pair:
$a+b,7a^2{b}^2$
[2 marks]

Q. Multiply the following: -3a, 6x, and -2z.

1. - 36 axz
2. 12axz
3. 36axz
4. - 12axz

Q. Evaluate:
$(3-2x)(3+2x)(9+4x^2)$ is equal to $81-16x^4$.
If true then enter $1$ and if false then enter $0$.