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Question
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 3/4, z = 1/4`
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Solution
Given, `x = (-1)/2, y = 3/4, z = 1/4`
Now, LHS = x × (y + z)
= `(-1)/2 xx (3/4 + 1/4)`
= `(-1)/2 xx 4/4`
= `(-1)/2`
And RHS = x × y + x × z
= `(-1)/2 xx 3/4 + ((-1)/2) xx 1/4`
= `(-3)/8 - 1/8`
= `(-3 - 1)/8`
= `(-4)/8`
= `(-1)/2`
∴ LHS = RHS
Hence, x × (y + z) = x × y + x × z
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