Verify-82-4-19-82- -4-82- 19

( 82)× nbsp; ( 4)+19 =( 82)× ( 4)+( 82)× 19 Consider LHS = ( 82)× nbsp; ( 4)+19 It can be written as =( 82)× nbsp; 4+19 By further calculation =( 82)× ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Manipulation of a linear equation

Verify:-82×-4...

Question

Verify:
$(- 82) \times {\begin{matrix} (- 4) + 19 \end{matrix}} = (- 82) \times (- 4) + (- 82) \times 19$

Open in App

Solution

$(- 82) \times {\begin{matrix} (- 4) + 19 \end{matrix}} = (- 82) \times (- 4) + (- 82) \times 19$
Consider LHS = $(- 82) \times {\begin{matrix} (- 4) + 19 \end{matrix}}$
It can be written as
$= (- 82) \times {\begin{matrix} - 4 + 19 \end{matrix}}$
By further calculation
$= (- 82) \times {\begin{matrix} 15 \end{matrix}} = - 1230$
Similarly RHS = $(- 82) \times (- 4) + (- 82) \times 19$
It can be written as
$= (- 82) \times (- 4) + (- 82) \times (19)$
$= 328 - 1558$
By further calculation
$= - 1230$
Therefore, LHS = RHS.

Suggest Corrections

Similar questions

Q. Which of the following expressions can be written as an integer?
I.

{(\sqrt{82} + \sqrt{82})}^{2}

II.

(82) (\sqrt{82})

III.

\frac{(\sqrt{82} + \sqrt{82})}{82}

Q. 4, 10, ?, 82, 244, 730

Q. Find the units digit in the decimal expansion of

(15 + \sqrt{220})^{19} + (15 + \sqrt{220})^{82}

Q. Simplify:

\frac{[(- 5)^{3}]^{4} \times 8^{2}}{4^{3} \times (25)^{5}}

Q. Locus of the point whose sum of distances from the origin and the

x -

axis is

4

units is

Join BYJU'S Learning Program

Verify: (−82)×{(−4)+19}=(−82)×(−4)+(−82)×19

Verify:
$(- 82) \times {\begin{matrix} (- 4) + 19 \end{matrix}} = (- 82) \times (- 4) + (- 82) \times 19$