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Hitman42 [59]
2 years ago
8

Was the expression a^2-b^2 = (a+b)(a-b) invented or discovered?

Mathematics
2 answers:
Andreyy892 years ago
6 0

Answer:

the expression is invented

Contact [7]2 years ago
3 0
I would say it was discovered.
Expanding (a + b)(a - b)
= a(a - b) + b(a - b)
= a^2 - ab + ba - b^2
= a^2 - b^2
So factorising the difference between two squares simply reverses the equation
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I'll use subscript notation for brevity, i.e.

\dfrac{\partial f}{\partial x}=f_x

3.

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x(r,s)=s^2\implies\begin{cases}x_r=0\\x_s=2s\end{cases}

y(r,s)=2rs\implies\begin{cases}y_r=2s\\y_s=2r\end{cases}

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By the chain rule,

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4.

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3 years ago
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