Question

गुणनखंड कीजिए:
$63 straight a squared space minus space 112 straight b squared space$

Solution

हमें प्राप्त है:
        $space space 63 straight a squared minus 112 straight b squared space equals space 7 space cross times space 9 straight a squared space minus space 7 space cross times space 16 straight b squared$
= $7 left parenthesis 9 straight a squared minus 16 straight b squared right parenthesis$
∵        $9 straight a squared space minus space 16 straight b squared space space equals space left parenthesis 3 straight a right parenthesis squared space minus space left parenthesis 4 straight b right parenthesis squared$
= (3a + 4b) (3a - 4b) [∵ $straight a squared minus straight b squared equals space left parenthesis straight a minus straight b right parenthesis space left parenthesis straight a plus straight b right parenthesis right square bracket$
∴    $space 63 straight a squared minus 112 straight b squared space equals space 7 left square bracket left parenthesis 3 straight a space plus space 4 straight b right parenthesis space left parenthesis 3 straight a minus 4 straight b right parenthesis right square bracket$

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