Differences of squares

What will be the answer if $(2986759948578869038956)^{2}-(2986759948578869038955)^{2}$

#NumberTheory

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Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Comments

$\begin{aligned}2986759948578869038956^2-2986759948578869038955^2&=&2986759948578869038956+2986759948578869038955\\&=&5973519897157738077911\end{aligned}$ by difference of squares.

Ryan Soedjak - 7 years, 7 months ago

that's wrong u idiot then u multiply by (a-b)

William G. - 5 years, 7 months ago

Consider the first term $x$ and the 2nd term as $x-1$ . Therefore, $x^{2}-(x-1)^2=2x-1=$ $2$ x (the first term) $-1$ is the reqd. result.

Bhargav Das - 7 years, 7 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$