Question

9. Verify the properties:
a * (b + c) = (a * b) + (a X c)
(b - c) * a = (b a) - (c * a)
For a = -7, b = 3, c = -1​

Answer 1

a×(b+c)=(a×b)+(a×c)

Therefore,

$- 7 \times (3 + - 1) = ( - 7 \times 3) + ( - 7 \times - 1)$

$= - 7 \times 2 = - 21 + 7$

$= - 14 = - 14$

(b-c)×a=(b*a)-(c*a)

$(3 - (- 1)) \times - 7 = (3 \times - 7) - ( - 1 \times - 7)$

$2 \times - 7 = - 21 - 7$

$- 14 = - 14$

{VERIFIED}

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