The expansion 4a2 - 925 - 125a as a perfect square is-

4a^2+925+125a =(2a^2)+2.(2a).(35)+(35)^2 =(2a+35)^2 ...

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Standard XII

Mathematics

Middle Terms

The expansion...

Question

The expansion $4 a^{2} + \frac{9}{25} + \frac{12}{5} a$ as a perfect square is:

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Solution

$4 a^{2} + \frac{9}{25} + \frac{12}{5} a$
$= ({2 a}^{2}) + 2. (2 a) . (\frac{3}{5}) + {(\frac{3}{5})}^{2}$
$= {(2 a + \frac{3}{5})}^{2}$

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The expansion 4a2+925+125a as a perfect square is:

4a2+925+125a=(2a2)+2.(2a).(35)+(35)2=(2a+35)2

The expansion $4 a^{2} + \frac{9}{25} + \frac{12}{5} a$ as a perfect square is:

$4 a^{2} + \frac{9}{25} + \frac{12}{5} a$
$= ({2 a}^{2}) + 2. (2 a) . (\frac{3}{5}) + {(\frac{3}{5})}^{2}$
$= {(2 a + \frac{3}{5})}^{2}$