Question

Verify a×(b+c)=a×b+a×c for a=(-15)/4, b=4/7, c=(-12)/5

Answer 1

Answer:

Given,

a = -15/4 ; b = 4/7 ; c = -12/5

a(b+c) = a×b + a× c

-15/4 × 4/7+-12/5 = -15/4 × 4/7 + -15/4 × -12/5

-15/4× 20 - 84 /35 = -15 /7 + 9

-15/4 × -64/35 = 48/7

48/7 = 48/7

Hence verified.

Answer 2

Answer :

We have,

$❍ \: a = \frac{ - 15}{4} \\ ❍ \: b = \frac{4}{7} \: \: \: \: \: \: \\❍ \: c = \frac{ - 12}{5}$

Putting All values

$\frac{ - 15}{4} \times ( \frac{4}{7} + \frac{ - 12}{5} ) = \frac{ - 15}{4} \times \frac{4}{7} + \frac{ - 15}{4} \times \frac{ - 12}{5}$

$\frac{ - 15}{4} \times \frac{20 - 84}{35} = \frac{ - 60}{28} + \frac{180}{20}$

$\frac{ - 15}{4} \times \frac{ - 64}{35} = \frac{ - 60}{28} + \frac{18}{2}$

$\frac{960}{140} = \frac{ - 120 + 504}{56}$

$\frac{96}{14} = \frac{384}{56}$

$\frac{48}{7} = \frac{48}{7}$

Hence Verified !

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