Free Printable Factorization and expansions of algebraic expression

1.

Expand $2x(y+z)+3x(2y+z)$ .

a)

$x(8y+5)$

b)

$8yx+6z$

c)

$5xz+8xy$

d)

I don’t know 😓

2.

Expand (x +5)(x−5).

a)

x²−5

b)

x²+5

c)

x²+25

d)

x²−25

3.

The middle term in the expansion of

$\left(3x-1\right)^2$ is ............

a)

$3x$

b)

$-6x$

c)

$6x$

d)

$6x^2$

4.

Expand and simplify $3\left(a+2\right)+7$

a)

$3a+10$

b)

$3a+13$

c)

$3a+27$

d)

$a+27$

5.

Expand and Simplify
-4(2h + 3)

a)

-8h - 12

b)

-8h - 3

c)

-8h + 3

d)

-8h +12

6.

Factorise 3x²+12x

a)

3x(x+4)

b)

3(x²+4)

7.

Factorize 18ef − 6fg + 9hf completely

a)

3f(6e − 2g + 3h)

b)

6f(3e − g + 3h)

c)

3(6ef − 2fg + 3hf)

d)

18f(e − 3g + 2h)

8.

Factorize 3gh² − gh completely

a)

gh(3h − 1)

b)

3gh(h − 1)

c)

g(3h² − h)

d)

g(3h² − 1)

9.

12y²+ 3y = 3(4y² + y)

True or False?

a)

True

b)

False

10.

The common factor of $x^{3\ }y^2\$ and $x^4y$

a)

$x^4y^2$

b)

$x^4y$

c)

$x^3y^2$

d)

$x^3y$

Factorization and expansions of algebraic expression

Total questions: 10

Worksheet time: 16mins

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