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गुणनखंड

Question
CBSEHHIMAH8004070

निम्नलिखित व्यंजकों के गुणनखंड कीजिए:
straight a to the power of 4 space plus space 2 straight a squared straight b squared plus straight b to the power of 4

Solution

हमें प्राप्त है,  straight a to the power of 4 plus 2 straight a squared straight b squared plus straight b to the power of 4 equals left parenthesis straight a squared right parenthesis squared plus 2 left parenthesis straight a squared right parenthesis left parenthesis straight b squared right parenthesis plus left parenthesis straight b squared right parenthesis squared
                                     [∵ (a2 + b2) = a2 + 2ab + b2]
                                              equals left parenthesis straight a squared plus straight b squared right parenthesis squared space equals space left parenthesis straight a squared plus straight b squared right parenthesis left parenthesis straight a squared plus straight b squared right parenthesis
∴           straight a to the power of 4 plus 2 straight a squared straight b squared plus straight b squared space equals space left parenthesis straight a squared plus straight b squared right parenthesis squared left parenthesis straight a squared plus straight b squared right parenthesis left parenthesis straight a squared plus straight b squared right parenthesis