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Question
Verify that `("x"+"y")xx"z"="x"xx"z + y"xx"z",if`
`"x"=2," y"=4/5and "z"=3/(-10)`
Solution
`"x"=2," y"=4/5and "z"=3/(-10)`
Using, `("x"+"y")xx"z"="x"xx"z" +"y"xx"z"`
⇒`(2/1+4/5)xx3/(-10)=2xx3/(-10)+4/5xx3/(-10)`
⇒`((2xx5)/(1xx5)+(4xx1)/(5xx1))xx3/(-10)=3/(-5)+6/(-25)`
⇒`((10+4)/5)xx3/(-10)=(-3xx5)/(5xx5)+(-6xx1)/(5xx5)`
⇒`14/5xx3/(-10)=(-15-6)/25`
⇒`(-21)/25=(-21)/25`
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