Factorize 4x - 1 52 - x - 1 22

( 4x 1 5 #160; ) #160; ^ 2 ( x+ 1 2 #160; ) #160; ^ 2 =( 4x 1 5 +x+ 1 2 #160; ) ( 4x 1 5 x 1 2 #160; ) #160; =( 5 ...

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Taking Out Common Factors

Factorize 4...

Question

Factorize
${(4 x - \frac{1}{5})}^{2} - {(x + \frac{1}{2})}^{2}$

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Solution

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{(x - \frac{1}{2})}^{2} = 4

\frac{(3 x - 4 y - 12)^{2}}{100} - \frac{(4 x + 3 y - 12)^{2}}{225} = 1

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(x^{2} - 4 x) (x^{2} - 4 x - 1) - 20

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