Operasi penjumlahan dan pengurangan dapat dilakukan pada suku-suku dengan variabel yang sama.

Contoh 01

$$\begin{array}{rl}& 5a-9b-3c+2a+7b+6c\\ \\ & 5a+2a-9b+7b-3c+6c\\ \\ & 7a-2b+3c\end{array}$$

Contoh 02

$$\begin{array}{rl}& 3x^2+6x-5-x^2-2x+1\\ \\ & 3x^2-x^2+6x-2x-5+1\\ \\ & 2x^2+4x-4\end{array}$$

Contoh 01

$2ab\times (-3ac)\times (-4c)$

$$\begin{array}{rl}& 2.(-3).(-4)\times a.a\times b\times c.c\\ \\ & 24a^{2}b{c}^2\end{array}$$

Contoh 02

${\displaystyle \frac{12m^2{p}^4}{14m^3{p}^3}}\times {\displaystyle \frac{7m^4{p}^2}{3m{p}^3}}$

$$\begin{array}{rl}& \frac{12.7}{14.3}\times \frac{m^2.m^4}{m^3.m}\times \frac{p^4.p^2}{p^3.p^3}\\ \\ & \frac{{\cancel{12}}^4.\cancel{7}}{{\cancel{14}}^2.\cancel{3}}\times \frac{m^6}{m^4}\times \frac{p^6}{p^6}\\ \\ & 2.m^2\end{array}$$

Contoh 03

$(-3x{y}^2{)}^3$

$$\begin{array}{rl}& (-3{)}^3.x^3.y^6\\ \\ & -27.x^3.y^6\end{array}$$

Contoh 04

$(7x+3y)(5x-2y)$

$$\begin{array}{rl}& 7x.5x+7x.-2y+3y.5x+3y.-2y\\ \\ & 35x^2-14xy+15xy-6y^2\\ \\ & 35x^2+xy-6y^2\end{array}$$

Contoh 01

Faktorkan $20+10x$

$20+10x=10(2+x)$

Contoh 02

Faktorkan $21ab-14bc$

$(21ab-14bc=7b(3a-2c)$

Contoh 03

$2a(p-q)-5(p-q)$

$2a(p-q)-5(p-q)=(p-q)(2a-5)$