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Verify that X X (Y-z)=X X Y - X X Z, If X=4/5, Y=-7/4 and Z=3 - Mathematics

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Question

Verify that `"x"xx("y"-"z")="x"xx"y"-"x"xx"z,"` if 

`"x"=4/5,"y"=-7/4and"z"=3`

Sum

Solution

`"x"=4/5,"y"=-7/4 and "z"=3`

Using, `"x"xx("y"-"z")="x"xx"y"-"x"xx"z"`

⇒`4/5xx((-7)/4-3)=4/5xx(-7)/4-4/5xx3`

⇒`4/5xx((-7xx1-3xx4)/4)=(-7)/5-12/5`

⇒`4/5xx((-7-12)/4)=(-7-12)/5`

⇒`4/5xx(-19)/4` ⇒`(-19)/5=(-19)/5`

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Chapter 1: Rational Numbers - Exercise 1 (C) [Page 18]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 1 Rational Numbers
Exercise 1 (C) | Q 9.1 | Page 18
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