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गुणनखंड

Question
CBSEHHIMAH8004150
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निम्नलिखित विभाजन कीजिए:
9 straight x squared straight y squared left parenthesis 3 straight z minus 24 right parenthesis divided by 27 xy left parenthesis straight z minus 8 right parenthesis

Solution

∵             3z - 24 = 3(z-8)

∴       space fraction numerator 9 straight x squared straight y squared left parenthesis 3 straight z minus 24 right parenthesis over denominator 27 xy left parenthesis straight z minus 8 right parenthesis end fraction space equals space fraction numerator 3 cross times 3 cross times straight x squared cross times straight y squared cross times 3 cross times left parenthesis 3 straight z minus 8 right parenthesis over denominator 3 cross times 3 cross times 3 cross times straight x cross times straight y cross times left parenthesis 3 straight z minus 8 right parenthesis end fraction
                                   = straight x squared over straight x space cross times space straight y squared over straight y space equals space straight x to the power of 2 minus 1 end exponent space straight y to the power of 2 minus 1 end exponent
                                   = xy

∴              space space 9 straight x squared straight y squared left parenthesis 3 straight z minus 24 right parenthesis divided by 27 xy left parenthesis straight z minus 8 right parenthesis space equals space xy

Some More Questions From गुणनखंड Chapter

गुणनखंड कीजिए:
22y – 33z

गुणनखंड कीजिए:
14pq + 35pqr

दिए गए पदों में सार्व गुणनखंड ज्ञात कीजिए:
12x, 36

दिए गए पदों में सार्व गुणनखंड ज्ञात कीजिए:
2y, 22xy

दिए हुए पदों में सार्व गुणनखंड ज्ञात कीजिए:
2x, 3x2, 4

दिए हुए पदों में सार्व गुणनखंड ज्ञात कीजिए:
6abc,  24ab2,  12a2b

दिए हुए पदों में सार्व गुणनखंड ज्ञात कीजिए:
16x3,  -4x2, 32x

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