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Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorise: x2...

Question

Factorise:
$x^{2} - 2 x + \frac{7}{16}$

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Solution

Here, given expression $x^{2} - 2 x + \frac{7}{16}$

$\Rightarrow$ $fraction numerator 16 space x squared minus 32 x plus 7 over denominator 16 end fraction$

$\Rightarrow$ $fraction numerator 16 space x squared minus open parentheses 28 plus 4 close parentheses x plus 7 over denominator 16 end fraction$

$\Rightarrow$ $fraction numerator 16 x squared minus 28 x minus 4 x plus 7 over denominator 16 end fraction$

$\Rightarrow$ $fraction numerator 4 x open parentheses 4 x minus 7 close parentheses minus open parentheses 4 x minus 7 close parentheses over denominator 16 end fraction$

$\Rightarrow$ $fraction numerator open parentheses 4 x minus 7 close parentheses open parentheses 4 x minus 1 close parentheses over denominator 16 end fraction$

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