Question

For a=2/3,b=-5/6 and c=1/2 ,prove that a×(b+c)=a×b+a×c​

Answer 1

Step-by-step explanation:

$a = \frac{2}{3} \: \: \: b = \frac{ - 5}{6} \: \: \: c = \frac{1}{2}$

$a \times (b + c) = a \times b + a \times c$

$a \times (b + c) = a \times (b + c)$

$\frac{2}{3} ( \frac{ - 5}{6 } + \frac{1}{2} ) = \frac{2}{3} ( \frac{ - 5}{6} + \frac{1}{2} )$

$\frac{2}{3} ( \frac{ - 5 + 3}{6} ) = \frac{2}{3} ( \frac{ - 5 + 3}{6} )$

$\frac{2}{3} ( \frac{ - 2}{6} ) = \frac{2}{3} ( \frac{ - 2}{6} )$

$\frac{ - 2}{9} = \frac{ - 2}{9}$

L. h. S. = R. H.S

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Answer 2

a= ⅔ b= -⅚ c= ½

• a×(b+c) = a×b+a×c
• ⅔×(-⅚+½) = ⅔×-⅚+⅔×½
• -10/18 + 2/6. = -10/18 + 2/6
• -10+2/18. = -10+2/18
• -8/18. = -8/18
• -4/9. = -4/9