# Activities 3

### 3.1)

Calculate and simplify the expressions if possible:

a)
$x\cdot 2x$
b)
$2x\cdot 3$
c)
$x\cdot 2y$
d)
$5x\cdot x$

a)
$x\cdot 2x$
b)
$2x\cdot 3$
c)
$x\cdot 2y$
d)
$5x\cdot x$

### 3.2)

Calculate and simplify the expressions if possible:

a)
$a+b\cdot a+b$
b)
$a\cdot b+3\cdot a$
c)
$a+3\cdot b\cdot a+4\cdot b$
d)
$\begin{array}{ccc}\hfill & x+2\cdot y\cdot y\hfill & \hfill \\ \hfill & \phantom{\rule{2em}{0ex}}+4\cdot x\cdot y-3\cdot y\hfill \end{array}$
e)
$x\cdot x\cdot y+y$
f)
$x\cdot y+x\cdot y+x\cdot y+x\cdot y$

a)
$a+b\cdot a+b$
b)
$a\cdot b+3\cdot a$
c)
$a+3\cdot b\cdot a+4\cdot b$
d)
$x+2\cdot y\cdot y+4\cdot x\cdot y-3\cdot y$
e)
$x\cdot x\cdot y+y$
f)
$x\cdot y+x\cdot y+x\cdot y+x\cdot y$

### 3.3)

Calculate and simplify the expressions if possible:

a)
$2a+a-b+3+3b$
b)
$2a+{a}^{2}+2{a}^{2}-a$
c)
$2a\cdot a+2-b-4$
d)
$-c+b\cdot b-c\cdot b+1$
e)
$\begin{array}{ccc}\hfill & 3\cdot b\cdot c\cdot a-a\cdot b\hfill & \hfill \\ \hfill & \phantom{\rule{2em}{0ex}}+b\cdot c-2\cdot a\cdot b\hfill \end{array}$
f)
$-{a}^{2}\cdot a+2\cdot a\cdot b\cdot a+2\cdot {a}^{3}$

a)
$2a+a-b+3+3b$
b)
$2a+{a}^{2}+2{a}^{2}-a$
c)
$2a\cdot a+2-b-4$
d)
$-c+b\cdot b-c\cdot b+1$
e)
$3\cdot b\cdot c\cdot a-a\cdot b+b\cdot c-2\cdot a\cdot b$
f)
$-{a}^{2}\cdot a+2\cdot a\cdot b\cdot a+2\cdot {a}^{3}$

### 3.4)

Simplify the expressions as much as possible:

a)
$5\cdot 4b\cdot 3a-20ab+3ba\cdot 10$
b)
$50a\cdot 10-60\cdot 10a+200a$
c)
$5b\cdot 8-4\cdot 8a+50a$
d)
$50tru+9\cdot 4tr\cdot 3u-100t\cdot ur$

### 3.5)

Simplify the expressions as much as possible:

a)
$\begin{array}{ccc}\hfill & 6\cdot x\cdot x+3\cdot t\cdot 7\hfill & \hfill \\ \hfill & \phantom{\rule{2em}{0ex}}-4{x}^{2}+6\cdot 5\hfill \end{array}$
b)
$\begin{array}{ccc}\hfill & 12a\cdot 2a+3w\cdot 3w\hfill & \hfill \\ \hfill & \phantom{\rule{2em}{0ex}}-a\cdot a-w\cdot w\hfill \end{array}$
c)
$15\cdot 3s\cdot s-7{s}^{2}\cdot 3+9s\cdot 5s$
d)
$k\cdot k\cdot k+k\cdot 2k+5k$
e)
${w}^{2}+3w-5{w}^{2}+{w}^{3}$
f)
$13{n}^{4}-4{n}^{3}\cdot n+n\cdot 5{n}^{2}\cdot 5n$

### 3.6)

Simplify the expressions as much as possible:

a)
${a}^{2}+3b+a$
b)
$2a+3b+{a}^{2}+4a+2{a}^{2}$
c)
$b+{b}^{2}+2b+5b$
d)
$2b+2{b}^{2}{b}^{3}{b}^{4}$
e)
$3+a+1+3a$
f)
$5+2+2a+11+3a$
g)
$2a+5b+11+17{a}^{2}{b}^{2}$
h)
$4x+2y+11x+3{y}^{2}$

a)
${a}^{2}+3b+a$
b)
$2a+3b+{a}^{2}+4a+2{a}^{2}$
c)
$b+{b}^{2}+2b+5b$
d)
$2b+2{b}^{2}{b}^{3}{b}^{4}$
e)
$3+a+1+3a$
f)
$5+2+2a+11+3a$
g)
$2a+5b+11+17{a}^{2}{b}^{2}$
h)
$4x+2y+11x+3{y}^{2}$

### 3.7)

Calculate and simplify the expressions:

a)
$2\cdot 3x\cdot y$
b)
$y4x\cdot 6g\cdot 3$
c)
$7\cdot 3\cdot 3p$
d)
$5h\cdot 5a\cdot 2a$
e)
$6i\cdot 4c\cdot 5e$
f)
$2l\cdot 2e\cdot 2m\cdot 2o\cdot 2n$
g)
$20f\cdot 3i\cdot l\cdot 4m$
h)
$7t\cdot 8e\cdot 10a$

a)
$2\cdot 3x\cdot y$
b)
$y4x\cdot 6g\cdot 3$
c)
$7\cdot 3\cdot 3p$
d)
$5h\cdot 5a\cdot 2a$
e)
$6i\cdot 4c\cdot 5e$
f)
$2l\cdot 2e\cdot 2m\cdot 2o\cdot 2n$
g)
$20f\cdot 3i\cdot l\cdot 4m$
h)
$7t\cdot 8e\cdot 10a$

You can find the solutions here.