Math, asked by bhoomiozha80, 1 month ago

Verify the following:- 2/3 × {-4/5 + -3/7} = 2/3 × -4/5 + 2/3 × -3/7
Class 8​

Answers

Answered by nikhilExpert
4

Answer:

Solution in image with full explain

Attachments:
Answered by george0096
9

Step-by-step explanation:

\bf{Q)\;Verify\;the\;following:}\\\\\sf{\circ\;\dfrac{2}{3}\times\left\{\dfrac{-4}{5}+\dfrac{-3}{7}\right\}=\dfrac{2}{3}\times\dfrac{-4}{5}+\dfrac{2}{3}\times\dfrac{-3}{7}}

Solving LHS:

\sf{\longmapsto\dfrac{2}{3}\times\left\{\dfrac{-4}{5}+\dfrac{-3}{7}\right\}}

Solving bracket first,

\sf{\longmapsto\dfrac{2}{3}\times\left\{\dfrac{-28+(-15)}{35}\right\}}

\sf{\longmapsto\dfrac{2}{3}\times\left\{\dfrac{-28-15}{35}\right\}}

\sf{\longmapsto\dfrac{2}{3}\times\dfrac{-43}{35}}

Multiplying,

\sf{\longmapsto\dfrac{-86}{105}}

Solving RHS:

\sf{\longmapsto\dfrac{2}{3}\times\dfrac{-4}{5}+\dfrac{2}{3}\times\dfrac{-3}{7}}

Using BODMAS, first multiplying,

\sf{\longmapsto\dfrac{-8}{15}+\dfrac{-2}{7}}

Now adding,

\sf{\longmapsto\dfrac{-56+(-30)}{105}}

\sf{\longmapsto\dfrac{-86}{105}}

As,

  • -86/105 = -86/105

Therefore,

  • LHS = RHS

Hence, Verified.

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