Question

Verify a(b+c)=axb+axc for a is 1/5 b is -2/7 c is 9

Answer 1

$\huge{✪}$$\huge{\underline{\mathcal{Answer}}}$

LHS:

$\dfrac{1}{5} ( \dfrac{ - 2}{7} + 9) \\ \\ \dfrac{1}{5} ( \dfrac{ - 2 + 63}{7} ) \\ \\ \dfrac{61}{35}$

RHS:

$\dfrac{1}{5} \times ( \dfrac{ - 2}{7} ) + \dfrac{1}{5} \times 9 \\ \\ \dfrac{ - 2}{35} + \dfrac{9}{5} \\ \\ \dfrac{ - 2 + 63}{35} \\ \\ \dfrac{61}{35}$

$\large{☞}$Here we see that LHS is equal to RHS.

Hence Proved

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