Question

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$\: \: \: \: \: \: \: {\huge { \red{\underline{Answer : ≈}}}}$






106 × 106 – 94 × 94 = ?
 A. 2004
 B. 2400
 C. 1904
 D. 1906

Answer 1

106 × 106 – 94 × 94 = ?

Good question,

Here is your perfect answer!

= 106² - 94²

= (106+94) (106-94)

= 200(12)

= 2400.

Answer 2

$\bf{\underline{Question\: :-}}$
Find the value
106×106 -94×94

$\underline{\bf{Solution\: :-}}$

106×106-94×94

Now, we know the rule of $\bf{BODMAS}$ .

So, we need to solve the problems as :-

Bracket- Of - Division- Multiplication - Addition - Subtraction.

Now, 106×106 - 94×94

Here, two operations are to be performed, i.e. multiplication and subtraction.

According to the BODMAS rule, we need to do our multiplication first

106×106 = 11236

and 94×94 = 8836

So, 106×106-94×94

=11236-8836

Now, we only need to do simple subtraction

$\boxed{\bf{=\:2400}}$

$\boxed{\bf{Method\:2}}$

106×106 -94 ×94

$\bf{\implies{106}^{2}-{94}^{2}}$

Using Identity :-

a^2-b^2 = (a+b)(a-b)

=(106+94)(106-94)

=200×12

=2400