Simplify a2 - 1a2 - 2 - 3a - 3a

We have, #10; #10; a^2+1a^2 2 3a+3a #10; #10; ⇒( a 1a)^2 3( #10;a 1a) #10; #10; ⇒( a 1a)( ( #10;a 1a) 3 ) #10; #10; #160; ...

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Factorisation Using Algebraic Identities

Simplify a2...

Question

Simplify $a^{2} + \frac{1}{a^{2}} - 2 - 3 a + \frac{3}{a}$

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Solution

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Simplify:-

1. (a^{2 _}3a + 7) × (2a + 3)

\frac{a^{3} - 27}{5 a^{2} - 16 a + 3} \div \frac{a^{2} + 3 a + 9}{25 a^{2} - 1}

\frac{a^{2} + 3 a}{a^{2} + 4 a + 3} \times \frac{a^{2} - 2 a - 3}{a^{2} - 9}

\frac{a}{a + 3}

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\frac{a^{3} - 27}{5 a^{2} - 16 a + 3} \div \frac{a^{2} + 3 a + 9}{25 a^{2} - 1}

a^{2} + \frac{1}{a^{2}} - 2 - 3 a + \frac{3}{a}

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