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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`
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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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______ × `((-2)/5)` = 1.
