Question

Veryfy the property
ax (b+c) = (a×b) +(a×c)
a=5/6 B=-3/4 c=7/8​

Answer 1

Answer:

ax (b+c) = (a×b) +(a×c)

a=5/6 B=-3/4 c=7/8..........................

Answer 2

Step-by-step explanation:

LHS: a×(b+c)

$\frac{5}{6} \times ( \frac{ - 3}{4} + \frac{7}{8} )$

$\frac{5}{6} \times ( \frac{( - 3 \times 2) + (7 \times 1)}{8} )$

$\frac{5}{6} \times ( \frac{ - 6 + 7}{8} )$

$\frac{5}{48}$

RHS: (a×b)+(a×c)

$( \frac{5}{6} \times \frac{ - 3}{4} ) + ( \frac{5}{6} \times \frac{7}{8} )$

$\frac{ - 15}{24} + \frac{35}{48}$

$\frac{( - 15 \times 2) + (35 \times 1)}{48}$

$\frac{ - 30 + 35}{48}$

$\frac{5}{48}$

since LHS=RHS, the property is verified