Question

(2x+1/3^2)-(x-1/2)^2 factorise

Answer 1

Hey, Here is your answer
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$= \frac{2x + 1}{ {3}^{2} } - {(\frac{x - 1}{2} )}^{2} \\ \\ = \frac{2x + 1}{9} - \frac{ {x}^{2} + 1 - 2x }{4} \\ \\ = \frac{4.(2x + 1) - 9.( {x}^{2} + 1 - 2x)}{9 \times 4} \\ \\ = \frac{8x + 4 - 9 {x}^{2} - 9 + 18x}{36} \\ \\ = \frac{ - 9 {x}^{2} - 5 + 26x }{36} \\ \\ = \frac{ - 9 {x}^{2} - 18x + 13x + 26}{36} \\ \\ = \frac{- 9x(x + 2) + 13(x + 2)}{36} \\ \\ = \frac{(x + 2)( - 9x + 13)}{36}$
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