Question

10. Verify that: a ÷ (b + c) is not equal to (a ÷ b) + (a ÷ c) if a = (-10), b = 1, c = 1
​

Answer 1

Solving LHS ,

a/(b+c) = -10 / (1+1)

= -10 / 2

= -5

Solving RHS ,

(a/b) + (a/c) = (-10/1) + (-10/1)

=(-10) + (-10)

= -10-10

= -20

Therefore , LHS is not equal to RHS .

Answer 2

L.H.S

$a \div (b \: + \: c)$

$= > - 10 \div (1 + 1)$

$= > - 10 \div 2$

$= \: - 5$

R.H.S

$(a \: \div \: b) \: + \: (a \: \div \: c)$

$(1 \: \div \: - 10) \: ( - 10 \: \div \: 1)$

$( - 10)( - 10)$

$-20$

Therefore, L.H.S is not equal to R.H.S

Hope it help u..☺