Question

please answer this question from factorisation of polynomials ​

Answer 1

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$let \: {x}^{2} = p \\ {4p}^{2} + 7p - 2 \\ = {4p}^{2} + 8p - p - 2 \\ = 4p(p + 2) - (p + 2) \\ = (4p - 1)(p + 2) \\ = ( {4x}^{2} - 1)( {x}^{2} + 2) \\ = ({(2x)}^{2} - {(1)}^{2} ) ({x}^{2} + 2) \\ = ( 2x - 1)(2x + 1)( {x}^{2} + 2)$

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