Muistikaavat
(a+b)\cdot (a+b)
(
a
+
b
)
⋅
(
a
+
b
)
(a+b)\cdot (a+b)
(
a
+
b
)
⋅
(
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
⋅
a
+
a
⋅
b
+
a
⋅
b
+
b
⋅
b
=(a+b)^2
=
(
a
+
b
)
2
=(a+b)^2
=
(
a
+
b
)
2
=a^2+2ab+b^2
=
a
2
+
2
a
b
+
b
2
=a^2+2ab+b^2
=
a
2
+
2
a
b
+
b
2
Ison neliön pinta-ala
Ison neliön pinta-ala
(a+b)^2=a^2+2ab+b^2
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
(a+b)^2=a^2+2ab+b^2
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
Pienen neliön pinta-ala
(a+b)^2-4\color{Green}{ab}
(
a
+
b
)
2
−
4
a
b
(a+b)^2-4\color{Green}{ab}
(
a
+
b
)
2
−
4
a
b
=a^2+2ab+b^2-4ab
=
a
2
+
2
a
b
+
b
2
−
4
a
b
=a^2+2ab+b^2-4ab
=
a
2
+
2
a
b
+
b
2
−
4
a
b
=a^2-2ab+b^2
=
a
2
−
2
a
b
+
b
2
=a^2-2ab+b^2
=
a
2
−
2
a
b
+
b
2
Pienen neliön pinta-ala
(a-b)^2
(
a
−
b
)
2
(a-b)^2
(
a
−
b
)
2
(a-b)^2=a^2-2ab+b^2
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
(a-b)^2=a^2-2ab+b^2
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
Jäljelle jäävä pinta-ala
c^2-\color{Goldenrod}{b^2}
c
2
−
b
2
c^2-\color{Goldenrod}{b^2}
c
2
−
b
2
(c+\color{Goldenrod}b)(c-\color{Goldenrod}b)
(
c
+
b
)
(
c
−
b
)
(c+\color{Goldenrod}b)(c-\color{Goldenrod}b)
(
c
+
b
)
(
c
−
b
)
Jäljelle jäävä pinta-ala
(c+b)(c-b)=c^2-b^2
(
c
+
b
)
(
c
−
b
)
=
c
2
−
b
2
(c+b)(c-b)=c^2-b^2
(
c
+
b
)
(
c
−
b
)
=
c
2
−
b
2
(a+b)^3
(
a
+
b
)
3
(a+b)^3
(
a
+
b
)
3
Kuution tilavuus
(a+b)^3
(
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
=
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(
a
+
b
)
3
=
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
a
a
a
a
a
a
a
a
b
b
b
b
b
b
b
b
b
b
b
b
a
a
a
a
\color{CornflowerBlue}{a^3}+3\color{Goldenrod}{a^2b}+3\color{Green}{b^2a}+\color{Salmon}{b^3}
a
3
+
3
a
2
b
+
3
b
2
a
+
b
3
\color{CornflowerBlue}{a^3}+3\color{Goldenrod}{a^2b}+3\color{Green}{b^2a}+\color{Salmon}{b^3}
a
3
+
3
a
2
b
+
3
b
2
a
+
b
3