Verify the property: x × (y + z) = x × y + x × z by taking: \( x = \dfrac{-3}{4}, y = \dfrac{-5}{2}, z = \dfrac{7}{6}\)

Asked by Aaryan | 1 year ago |  55

1 Answer

Solution :-

By using the property

x × (y + z) = x × y + x × z

\(\dfrac{-3}{4} × (\dfrac{-5}{2} + \dfrac{7}{6}) = \dfrac{-3}{4} × \dfrac{-5}{2} + \dfrac{-3}{4} × \dfrac{7}{6}\)

\(\dfrac{-3}{4} × \dfrac{((-5×3) + (7×1))}{6} \)

\( = \dfrac{(-3×-5)}{(4×2) }+ \dfrac{(-3×7)}{(4×6)}\)

\(\dfrac{-3}{4} ×\dfrac{ (-15+7)}{6} = \dfrac{15}{8} – \dfrac{21}{24}\)

\(\dfrac{-3}{4} × \dfrac{-8}{6} = \dfrac{(15×3 – 21×1)}{24}\)

\(\dfrac{ -3}{4} × \dfrac{-4}{3} = \dfrac{(45-21)}{24}\)

\( 1 = \dfrac{24}{24}\)

= 1

Hence, the property is verified.

Answered by Sakshi | 1 year ago

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