Verify- iii -7-7- - 7 -7- 7-7- 7

Consider L.H.S. [7 ( 7)]×7 =[7+7]× 7 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nb ...

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Byju's Answer

Standard XII

Mathematics

Properties of Determinants

Verify: iii [...

Question

Verify:
(iii) $[7 - (- 7)] \times 7 = 7 \times 7 - (- 7) \times 7$

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Solution

Consider L.H.S. $[7 - (- 7)] \times 7 = [7 + 7] \times 7$

$= (14) \times 7$

$= 98$

Now, consider R.H.S. $7 \times 7 - (- 7) \times 7$

$= 49 - (- 7 \times 7)$

$= 49 - (- 49)$

$= 98$

$∴$ L.H.S =R.H.S = $98$
Hence, verified.

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Similar questions

Verify the following

(i) $\frac{- 12}{5} + \frac{2}{7} = \frac{2}{7} + \frac{- 12}{5}$

(ii) $\frac{- 5}{8} + \frac{- 9}{13} = \frac{- 9}{13} + \frac{- 5}{8}$

(iii) $3 + \frac{- 7}{12} = \frac{- 7}{12} + 3$

(iv) $\frac{2}{- 7} + \frac{12}{- 35} = \frac{12}{- 35} + \frac{2}{- 7}$

Q. Verify the following:

18 \times [7 + (- 3)] = [18 \times 7] + [18 \times (- 3)]

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$