Solution 2.1:1f
From Förberedande kurs i matematik 1
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- | {{ | + | The squaring rule <math> (a+b)^2 = a^2+2ab+b^2</math> with <math>a=5 </math> and <math> b=4y </math> gives |
- | < | + | |
- | {{ | + | {{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} |