Sponsor Area

गुणनखंड

Question
CBSEHHIMAH8004141

दिए हुए बहुपद को दिए हुए एकपदी से भाग कीजिए:
8 left parenthesis straight x cubed straight y squared straight z squared space plus space straight x squared straight y cubed straight z squared space plus space straight x squared straight y squared straight z cubed right parenthesis space divided by space 4 straight x squared straight y squared straight z squared

Solution

∵  8 left parenthesis straight x cubed straight y squared straight z squared space plus space straight x squared straight y cubed straight z squared space plus space straight x squared straight y squared straight z cubed right parenthesis space divided by space 4 straight x squared straight y squared straight z squared space
                                    = space fraction numerator 8 left parenthesis straight x cubed straight y squared straight z squared space plus space straight x squared straight y cubed straight z squared plus straight x squared straight y squared straight z cubed right parenthesis over denominator 4 space straight x squared space straight y squared space straight z squared end fraction
                                    = fraction numerator 2 cross times 4 cross times straight x squared straight y squared straight z squared left square bracket straight x space plus space straight y space plus space straight z right square bracket over denominator 4 straight x squared straight y squared straight z squared end fraction
                                    = fraction numerator 2 space cross times space left parenthesis straight x space plus space straight y space plus space straight z right parenthesis over denominator 1 end fraction space equals 2 left parenthesis straight x space plus space straight y space plus space straight z right parenthesis

∴     fraction numerator 8 left parenthesis straight x cubed straight y squared straight x squared space plus space straight x squared straight y cubed straight z squared space plus space straight x squared straight y squared straight z cubed over denominator 4 straight x squared straight y squared straight z squared end fraction = 2(x + y + z)