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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

If ab=73 then find the value of the following ratio. (a^3 - b^3)/b^3 - Algebra

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प्रश्न

If `bb(a/b = 7/3)` then find the value of the following ratio.

`(a^3 - b^3)/b^3`

बेरीज

उत्तर

`a/b = 7/3`

Let the common multiple be k.

`a = 7k , b = 3k`

`therefore (a^3 - b^3)/b^3`

= `{(7k)^3 - (3k)^3}/(3k)^3`

= `{343k^3 - 27k^3}/{27k^3}`

= `(316  k^3)/(27  k^3)`

= `(316)/(27)`

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Operations on Equal Ratios
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Ratio and Proportion - Practice Set 4.3 [पृष्ठ ७०]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
पाठ 4 Ratio and Proportion
Practice Set 4.3 | Q (1) (iii) | पृष्ठ ७०
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