Perkalian dan Pembagian Bentuk Aljabar

Perkalian

a(bx+c)=abx+ac

Contoh :

3(2x+4)=3.2x+3.4

\hspace 4.1em=6x+12

4(x-2)=4.x-4.2

\hspace 3.6em=4x+8

ax(bx+c)=abx^2+acx

(ax+m)(bx+n)=abx^2+anx+bmx+mn

Contoh :

3x(2x+2)=3x.2x+3x.2

\hspace 4.7em=6x^2+6x

(2x+3)(x+4)=2x.x+2x.4+3.x+3.4

\hspace 6.7em=2x^2+8x+3x+12

\hspace 6.7em=2x^2+11x+12

\dfrac{ax+b}{c}=\dfrac{a}{c}x+\dfrac{b}{c}

Contoh :

\dfrac{6x+9}{3}=\dfrac{6}{3}x+\dfrac{9}{3}

\hspace 3em = 2x+3

\dfrac{ax^2+bx}{cx}=\dfrac{ax^2}{cx}+\dfrac{bx}{cx}

Contoh :

\dfrac{4x^2+12x}{2x}=\dfrac{4x^2}{2x}+\dfrac{12x}{2x}

\hspace{4.5em}=\dfrac{4x\bcancel{^2}}{2\bcancel{x}}+\dfrac{12\cancel{x}}{2\cancel{x}}

\hspace 4.5em = 4x+6