Simplifing Products

Rules

100

x\times y=xy

Loose the multiplication sign

200

z \times x \times k\ times y = kxyz

Put variables in alphabetic order

300

x\timesx\times\x \times x=x^4

When you multiply with same variable, use powers

400

x^2 \times y^3 \times x\times y^2=x^3y^5

Each variable gets its own power

500

2x^4 \times 3x^5=6x^9

Put the coeffincients in front and multiply them

No powers

100

v \times w

vw

200

y \times x

xy

300

a\times b \times c \times d

abcd

400

p \times m \times k \times g

gkmp

500

f \times a \times d \times b \times c

abcdf

Powers

100

a \times a \times a \times a \times a

a^5

200

f \times a^2 \times f^2 \times a^2

a^4 f^3

300

k^3 \times m^2 \times m \times n \times m^5 \times k

k^4 m^8 n

400

t^2 \times s^2 \times t^3 \times r^4 \times r^2

r^6 s^2 t^5

500

p^3 \times q^2 \times p \times p^4 \times q^4 \times q

p^8 q^7

Coefficients

100

2a \times 4b

8ab

200

5x \times 2y

10xy

300

-3a \times 2b

-6ab

400

2r \times 4p \times -3q

-24pqr

500

-k \times -3f \times 2g \times -a

-6afgk

Powers and coefficients

100

-2y \times -7y^2

14y^3

200

-2p^2q^4 \times 3pq^2

-6p^3q^6

300

-0.5m^3n^2 \times -6m^3n^2

3m^6 n^4

400

2y^3 \times -4z^2 \times 2y^2

-16y^5z^2

500

-2f^3 \times -g^4 \times -8f^2 \times -h

16f^5 g^4 h