Question

Please me in matha%20-%201%7D%5E%7B2%7D%20%7D%7Ba%20%2B%201%7D%20" id="TexFormula1" title=" \frac{a + 1}{a - 1} + \frac{ {a - 1}^{2} }{a + 1} " alt=" \frac{a + 1}{a - 1} + \frac{ {a - 1}^{2} }{a + 1} " align="absmiddle" class="latex-formula">
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Answer 1

Step-by-step explanation:

hope this helps you thank you

Answer 2

$\boxed{ \sf{Answer}}$

$\large{\sf\frac{a + 1}{a - 1} + \frac{ {a - 1}^{2} }{a + 1}}$

Use the algebraic identities ⟶

1. ${\sf(a - b)(a + b) = {a}^{2} - b ^{2}}$
2. ${\sf(a + b) {}^{2} = {a}^{2} + 2ab - {b}^{2}}$
3. ${\sf(a - b) {}^{2} = {a}^{2} - 2ab + {b}^{2}}$

Squaring on both the sides

${\sf\frac{(a + 1 {)}^{2} + ( {a - 1)}^{2} }{(a - 1)(a + 1)}}$

$=\frac{ {a}^{2} + 2a + 1 + {a}^{2} - 2a + 1 }{ {a}^{2} - 1 } \\ = \frac{ {a}^{2} +\bcancel 2a + 1 + {a}^{2} - \bcancel2a + 1 }{ {a}^{2} - 1 } \\ = \frac{ {a}^{2} + {a}^{2} + 1 + 1 }{ {a}^{2} - 1}$

$\large\boxed{\sf{⟹\frac{ {2a}^{2} + 2}{ {a}^{2} - 1 }}}$

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐