Question
Download Solution PDF(x4 − y4), (x8 − y8) आणि (x2 − y2) चा मसावि आहे :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
(x4 − y4), (x8 − y8) आणि (x2 − y2)
वापरलेली संकल्पना:
मसावी हा प्रत्येक अटींमध्ये पूर्णतः विभाजित करण्यासाठी सर्वात जास्त सामाईक घटक आहे.
a2 – b2 = (a + b)(a – b)
गणना:
प्रत्येक अटींचे गुणांकन करणे,
⇒ x8 − y8
= (x4 + y4)(x4 – y4)
= (x4 + y4)(x2 + y2)(x2 – y2)
⇒ x8 − y8 = (x4 + y4)(x2 + y2)(x + y)(x – y)
दुसऱ्या पदासाठी,
⇒ x4 − y4
= (x2 + y2)(x2 – y2)
⇒ x4 − y4 = (x2 + y2)(x + y)(x – y)
तिसऱ्या पदासाठी,
⇒ x2 − y2 = (x + y)(x – y)
सर्व मूळ अवयवात, सामान्य घटक (x + y)(x – y) आहे.
म्हणून, (x4 − y4), (x8 − y8) आणि (x2 − y2) चा मसावि (x + y)(x – y) आहे.
Last updated on Jun 30, 2025
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