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If Y is the Mean Proportional Between X and Z, Show that : - ICSE Class 10 - Mathematics

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Question

If y is the mean proportional between x and z, show that :

xyz (x+y+z)3 =(xy+yz+xz)3  

Solution

Since y is the mean proportion between x and z

y2 = xz

LHS

xyz (x + y + z)3

= yy2 (x + y + z)3

= y3 (x + y +z)3

= [y (x + y + z)]3

= (xy + y2 + yz)3

= (xy + y2 + yz)3 = RHS

LHS = RHS

  Is there an error in this question or solution?

APPEARS IN

 Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.2 | Q: 7

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Solution If Y is the Mean Proportional Between X and Z, Show that : Concept: Proportions.
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