MathematicsThe value of (469 + 174)2 – (469 – 174)2469 × 174

The value of $\frac{{(469 + 174)}^{2} - {(469 - 174)}^{2}}{469 \times 174}$

A
$3$
B
$4$
C
$5$
D
$6$

Solution:

Here we will use the following equations

{\Rightarrow (a + b)}^{2} - {(a - b)}^{2}

= (a^{2} + 2 ab + b^{2}) - (a^{2} - 2 ab + b^{2})

= 4 ab

Now we use the above identity to answer this question,

\Rightarrow \frac{{(469 + 174)}^{2} - {(469 - 174)}^{2}}{469 \times 174} = \frac{4 \times 469 \times 174}{469 \times 174}

= 4

Here the answer to this question is

4

.

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Type of relations_mathematics