Question

Q. 4 Find the product using
suitable identity.
$( \frac{a}{4} + \frac{2b}{7}) \: ( \frac{a}{4} + \frac{2b}{7}$
​

Answer 1

Answer:

4 is the answer I think so

Answer 2

Answer:

$\huge{ \underline{given }}$

$\bold{{ \sf( \frac{a}{4} + \frac{2b}{7}) \: ( \frac{a}{4} + \frac{2b}{7} )}}$

$\sf{we \: need \: to \: use \: the \: identity}$

$\sf{ \red{ {(a + b)}^{2} }}$

$\sf{ {(a + b)}^{2} = {a}^{2} + 2(a b) + {b}^{2} }$

$\sf{ = > \frac{a}{4} }^{2} + 2( \frac{a}{4} \times \frac{2b}{7} ) + { \frac{2b}{7} }^{2}$

$\sf{ = > \frac{ {a}^{2} }{16} + 2( \frac{2ab}{28} ) + \frac{ {4b}^{2} }{49} }$

$\sf \blue{ \green{ \underline{ \underline{additional \:information : }}}}$

$\bold{ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }$

$\bold {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2}$

$(x + a)(x + b) \\ \\ = > {x}^{2} + (a + b)x + ab$