Question

verify the distributive property a×(b+c)=(a×b)+(a×c) for the rational numbers a=-2/3,b=3/4,c=-6/7​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$lhs \\ \\ a \times (b + c) \\ = \frac{ - 2}{3} \times ( \frac{3}{4} + \frac{ - 6}{7} ) \\ = \frac{ - 2}{3} \times ( \frac{21 - 24}{28} ) \\ = \frac{ - 2}{3} \times \frac{ - 3}{28} \\ = \frac{6}{84}$=1/14

$rhs \\ (a \times b) + (a \times c) \\ \ = (\frac{ - 2}{3} \times \frac{3}{4} ) + ( \frac{ - 2}{3} \times - \frac{6}{7} ) \\ = \frac{ - 6}{12} + \frac{12}{21} \\ = \frac{ - 42 + 48}{84} \\ = \frac{6}{84}$=1/14