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Verify That(X+Y)X Z=X X Z X+Y X Z,If X=4/5,Y=(-2)/3 and Z=-4 - Mathematics

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Question

Verify That`("x"+"y") xx"z"="x"xx"z"+"y"xx"z"`,If

`"x"=4/5,"y"=(-2)/3 and "z"=-4`

Sum

Solution

`"x"=4/5,"y"=(-2)/3 and "z"=-4`

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

⇒`(4/5+(-2)/3)xx-4=4/5xx-4+(-2)/3xx-4`

⇒`((4xx3)/(5xx3)-(2xx5)/(3xx5))xx-4=(-16)/5+8/3`

⇒`(12-10)/15xx-4=(-48+40)/15`

⇒ `2/15xx(-4)`

=`(-8)/15=(-8)/15`

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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 8.1 | Page 18
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