Muistikaavat

(a+b)\cdot (a+b)
(a+b)⋅(a+b)(a+b)\cdot (a+b)
\color{CornflowerBlue}{a\cdot a} + \color{Green}{a\cdot b} +\color{Green}{ a \cdot b} +\color{Goldenrod}{ b \cdot b}
a⋅a+a⋅b+a⋅b+b⋅b\color{CornflowerBlue}{a\cdot a} + \color{Green}{a\cdot b} +\color{Green}{ a \cdot b} +\color{Goldenrod}{ b \cdot b}
=(a+b)^2
=(a+b)2=(a+b)^2
=a^2+2ab+b^2
=a2+2ab+b2=a^2+2ab+b^2

Ison neliön pinta-ala

Ison neliön pinta-ala

(a+b)^2=a^2+2ab+b^2
(a+b)2=a2+2ab+b2(a+b)^2=a^2+2ab+b^2

Pienen neliön pinta-ala

(a+b)^2-4\color{Green}{ab}
(a+b)2−4ab(a+b)^2-4\color{Green}{ab}
=a^2+2ab+b^2-4ab
=a2+2ab+b2−4ab=a^2+2ab+b^2-4ab
=a^2-2ab+b^2
=a2−2ab+b2=a^2-2ab+b^2

Pienen neliön pinta-ala

(a-b)^2
(a−b)2(a-b)^2
(a-b)^2=a^2-2ab+b^2
(a−b)2=a2−2ab+b2(a-b)^2=a^2-2ab+b^2

Jäljelle jäävä pinta-ala

c^2-\color{Goldenrod}{b^2}
c2−b2c^2-\color{Goldenrod}{b^2}
(c+\color{Goldenrod}b)(c-\color{Goldenrod}b)
(c+b)(c−b)(c+\color{Goldenrod}b)(c-\color{Goldenrod}b)

Jäljelle jäävä pinta-ala

(c+b)(c-b)=c^2-b^2
(c+b)(c−b)=c2−b2(c+b)(c-b)=c^2-b^2
(a+b)^3
(a+b)3(a+b)^3

Kuution tilavuus

(a+b)^3
(a+b)3(a+b)^3

Kuution tilavuus

(a+b)^3=a^3+3a^2b+3ab^2+b^3
(a+b)3=a3+3a2b+3ab2+b3(a+b)^3=a^3+3a^2b+3ab^2+b^3
a
aa
a
aa
b
bb
b
bb
b
bb
a
aa
\color{CornflowerBlue}{a^3}+3\color{Goldenrod}{a^2b}+3\color{Green}{b^2a}+\color{Salmon}{b^3}
a3+3a2b+3b2a+b3\color{CornflowerBlue}{a^3}+3\color{Goldenrod}{a^2b}+3\color{Green}{b^2a}+\color{Salmon}{b^3}