Maharashtra State BoardSSC (English Medium) 9th Standard
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If a B = 2 3 Then Find the Value of the Following Expression - Algebra

Sum

If `a/b = 2/3`  then find the values of the following expression

`[a^3 + b^3]/b^3`

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Solution

`a/b = 2/3`

⇒ `a^3/b^3 = 8/7`                          ........( Cubing both sides)

Applying componendo, we get

`[a^3 + b^3]/b^3 = [8 + 27]/27` 

`[a^3 + b^3]/b^3 = 35/27`

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Problem Set 4 | Q 8.3 | Page 78
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