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गुणनखंड

Question
CBSEHENMAH8003569

गुणनखंड कीजिए:
straight x to the power of 4 minus left parenthesis straight x minus straight z right parenthesis to the power of 4

Solution
straight x to the power of 4 minus left parenthesis straight x minus straight z right parenthesis to the power of 4 space equals space left parenthesis straight x squared right parenthesis squared space minus space left square bracket left parenthesis straight x minus straight z right parenthesis squared right square bracket squared
                  equals open square brackets straight x squared plus left parenthesis straight x minus straight z right parenthesis squared close square brackets space open square brackets straight x squared minus left parenthesis straight x minus straight z right parenthesis squared close square brackets
                    equals left square bracket straight x squared plus left parenthesis straight x minus straight z right parenthesis squared right square bracket space open square brackets straight x plus left parenthesis straight x minus straight z right parenthesis right square bracket close square brackets space left square bracket straight x minus left parenthesis straight x minus straight z right parenthesis right square bracket
                   equals open square brackets straight x squared plus left parenthesis straight x minus straight z right parenthesis squared close square brackets space left parenthesis 2 straight x minus straight z right parenthesis thin space left parenthesis straight z right parenthesis
                     equals straight z left parenthesis 2 straight x minus straight z right parenthesis left parenthesis straight x squared plus left parenthesis straight x minus straight z right parenthesis squared right parenthesis