162x^4 50=2 ( 81x^4 25 ) =2{ (9x^2)^2 (5)^2} Apply #160; #160; [ a^2 b^2=(a+b)(a b) ] =2 ( 9x^2+5 ) ( 9x^2 5 ) #160; #160; ...

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Expansion of (x^2 - y^2)

Solve : 162...

Question

Solve : $162 x^{4} - 50$

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Solution

$162 x^{4} - 50 = 2 (81 x^{4} - 25)$

$= 2 {(9 x^{2})^{2} - (5)^{2}}$

Apply $[a^{2} - b^{2} = (a + b) (a - b)]$

$= 2 (9 x^{2} + 5) (9 x^{2} - 5)$

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