Factors of Algebraic Expressions

Q. Factorise the expression:

$15xy+15+9y+25x$

1. $3(5xy+3y)+5(5x+3)$
2. $(3y+5)(5x+3)$
3. $(3x+5)(5y+3)$
4. $8(3x+5y)$

Q.

Find the factors of $3750$.

Q.

Solve and check result: 4z + 3 = 6 + 2z

Q. Resolve the following quadratic trinomial into factors:
$11x^2-54x+63$

Q. Factorisation of $-x^{2}y-x+3xy+3$ gives _________ .

1. $(xy-1)(3+x)$
2. $(x+1)(3-xy)$
3. $(xy+1)(3+x)$
4. $(xy+1)(3-x)$

Q. Which of the following are the factors of 3ab(a + b)?

1. a and b
2. 3, a and b
3. 3, a, b and (a + b)
4. a, b and (a + b)

Q. $\text{Find the common factor in the expression:}4xy+8y.$

1. $2x$
2. $4x$
3. $4y$
4. $4xy$

Q.

Factorise the expression

6xy-4y+6-9x

Q. Match the following pairs.

1. multiple of 8
2. multiple of 7
3. multiple of 5
4. multiple of 11

Q. Which one of the following is an irreducible factor of $18x^2{y}^2.$

1. $x^2$
2. $y^2$
3. $18$
4. $x$

Q. Question 19

Factorised form of $23xy-46x+54y-108$ is
a) $(23x+54)(y-2)$
b) $(23x+54y)(y-2)$
c) $(23xy+54y)(-46x-108)$
d) $(23x+54)(y+2)$

Q.

Solve and check result: 5x + 9 = 5 + 3x

Q.

Solve and check result: 3x = 2x + 18

Q. Solve:
$4-\frac{2(z-4}{3}=\frac{1}{2}(2z+5)$

Q. Factorise 6xy - 4y + 6 - 9x.

Q. Factors of (x+y)3-(x3+y3)

Q.

Simplify and solve the linear equation

Q. 16 has factors.

1. 3
2. 4
3. 5
4. 6

Q. X^{​​​​​​2}​​​​​-4√5x+15. Factorise it. Explain it briefly

Q. The expression, $x(x+1)(x+2)$ has factors.

1. 1
2. 2
3. 3
4. 4

Q. Solve the following equations.

(16) $\frac{2x+1}{3x-2}=\frac{5}{9}$

Q. Solve the following equations.

(2) $\frac{5x-4}{2x}=2$

Q. Factorise the expression:

$15xy+15+9y+25x$

1. $3(5xy+3y)+5(5x+3)$
2. $(3y+5)(5x+3)$
3. $(3x+5)(5y+3)$
4. $8(3x+5y)$

Q. $\text{Factorise:}12xy-8x+9y-6$

1. $(3y-2)(4x+3)$
2. $(3y-2)(4x-3)$
3. $(3y+2)(4x+3)$
4. $(3y-2)(3x+2)$

Q. Identify the factors of $4xy+8x^2{y}^2.$

1. 2
2. 4xy
3. 4
4. 4xy(1+2xy)
5. xy+4
6. xy+8
7. xy
8. 12xy

Q. Which of the following are the factors of 3ab(a + b)?

1. a and b
2. 3, a and b
3. 3, a, b and (a + b)
4. a, b and (a + b)

Q. Which of the following equations is correct?

1. 5x + 2x = 6x
2. 3xy + 2x = 5xy
3. 6x + 3x + 7x = 16x
4. 4x + 6y = 4xy

Q. Which of the following is an irreducible form of 102?

1. $1\times 102$
2. $6\times 17$
3. $2\times 51$
4. $2\times 3\times 17$

Q. Solve the following equations.

(17) $\frac{8-3y}{5y+2}=\frac{1}{17}$

Q. Find the irreducible form of
$4a^2+12a.$

1. $4a\times (a+4)$
2. $2\times 2\times a(a+2)$
3. $4\times (a^2+2a)$
4. $2\times 2\times a\times (a+3)$