Question

it is very easy

Algebraic identities

Answer 1

Hi friends!!

Here is your answer :

${( \frac{3}{5}a + \frac{2}{3} b)}^{2}$

Identity

( x + y)² = x² + y² + 2xy

$= {( \frac{3}{5}a) }^{2} + {( \frac{2}{3}b )}^{2} + 2( \frac{3}{5}a )( \frac{2}{3}b )$

$= \frac{9}{25} {a}^{2} + \frac{4}{9} {b}^{2} + \frac{4}{5} ab$

Hope it helps....

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Answer 2

$Given : ( \frac{3}{5} a + \frac{2}{3} b)^2$

$= \ \textgreater \ (\frac{3a}{5} + \frac{2b}{3} )^2$

We know that (a + b)^2 = a^2 + b^2 + 2ab.

$= \ \textgreater \ ( \frac{3a}{5} )^2 + 2 * \frac{3a}{5} * \frac{2b}{3} + ( \frac{2b}{3} )^2$

$= \ \textgreater \ \frac{9a^2}{25} + \frac{4ab}{5} + \frac{4b^2}{9}$


Hope this helps!