Math, asked by DilKiDhadkan, 9 months ago

factorise 2x^2+5/2x+2

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Answered by Mihir1001

17

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we have,

$2 {x}^{2} + \frac{5}{2} x + 2$

$= \frac{4 {x}^{2} 5x + 4}{2}$

$= \frac{4 {x}^{2} + 8x + 2 - 3x}{2}$

$= \frac{ {(2x)}^{2} + 2(2x)(2) + {(2)}^{2} - 3x}{2}$

$= \frac{ {(2x + 2)}^{2} - 3x}{2}$

$= \frac{ {(2x + 2)}^{2} }{2} - \frac{3}{2} x$

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