Question

Verify the property: a x ( b + c) = a x b + a x c by taking
a = -3/7, b = 12/13, c = -5/6.

Answer 1

☑️ Given That :

$\bigstar \: a = - \frac{3}{7}$

$\bigstar \: b = \frac{12}{13}$

$\bigstar \: c = - \frac{5}{6}$

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☑️ To Verify :

a × (b + c) = a × b + a × c

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$\huge{\{\purple{\boxed{\boxed{\mathfrak{\underline{\underline{\pink{\bigstar{.SoLuTioN.}}}}}}}}}$

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Firstly, taking L.H.S.

$\implies$ a × (b + c)

$= - \frac{3}{7} \times[ \frac{12}{13} + ( - \frac{5}{6} )]$

$= - \frac{3}{7} \times( \frac{12}{13} - \frac{5}{6} )$

$= - \frac{3}{7} \times( \frac{72 - 65}{78} )$

$= - \frac{3}{7} \times \frac{7}{78}$

$= - \frac{1}{26}$

Now, taking R.H.S.

$\implies$ a × b + a × c

$= - \frac{3}{7} \times \frac{12}{13} + ( - \frac{3}{7}) \times ( - \frac{5}{6} )$

$= - \frac{36}{91}+ \frac{5}{14}$

$= \frac{ - 72 + 65}{182}$

$= - \frac{ 1}{26}$

$\therefore$ L.H.S. = R.H.S.

Hence, proved.

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⋰ Hope It Will Be Helpful To You ⋱

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Answer 2

Step-by-step explanation:

At lastit is commutativity in addition