50a^3 2a=2a( 25a ^ 2 1 ) #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; ...

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Synthetic Division of Polynomials

Solve: 50a3...

Question

Solve: $50 a^{3} - 2 a$

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Solution

$50 a^{3} - 2 a = 2 a ({25 a}^{2} - 1)$
$= 2 a [{(5 a)}^{2} - {(1)}^{2}]$
$= 2 a (5 a - 1) (5 a + 1) .$
Hence, the answer is $2 a (5 a - 1) (5 a + 1) .$

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