Solution 2.1:1f

From Förberedande kurs i matematik 1

(Difference between revisions)
Jump to: navigation, search
(Ny sida: {{NAVCONTENT_START}} <center> Bild:2_1_1f.gif </center> {{NAVCONTENT_STOP}})
Current revision (07:56, 23 September 2008) (edit) (undo)
m
 
(5 intermediate revisions not shown.)
Line 1: Line 1:
-
{{NAVCONTENT_START}}
+
The squaring rule <math> (a+b)^2 = a^2+2ab+b^2</math> with <math>a=5 </math> and <math> b=4y </math> gives
-
<center> [[Bild:2_1_1f.gif]] </center>
+
 
-
{{NAVCONTENT_STOP}}
+
{{Displayed math||<math>\begin{align}
 +
(5+4y)^2 &= 5^2+ 2\cdot 5 \cdot 4y +(4y)^2 \\[3pt]
 +
&= 25+10\cdot 4y + 4^2y^2\\[3pt]
 +
&= 25+40y+16y^2\\[3pt]
 +
&= 16y^2 +40y + 25\,\textrm{.}
 +
\end{align}</math>}}

Current revision

The squaring rule \displaystyle (a+b)^2 = a^2+2ab+b^2 with \displaystyle a=5 and \displaystyle b=4y gives

\displaystyle \begin{align}

(5+4y)^2 &= 5^2+ 2\cdot 5 \cdot 4y +(4y)^2 \\[3pt] &= 25+10\cdot 4y + 4^2y^2\\[3pt] &= 25+40y+16y^2\\[3pt] &= 16y^2 +40y + 25\,\textrm{.} \end{align}