Question

FACTORIZE THE FOLLOWING

and answer should be
$b).(a + \frac{1}{2} )(a + \frac{1}{2})$
$c.) \: (5x - 1)(5x - 1)$
​

Answer 1

$\large\sf\underline{Question \:no. 1}$

$\sf\:a^{2}+a+\frac{1}{4}\:$

$\sf\:=a^{2}+(\frac{1}{2}+\frac{1}{2})a+\frac{1}{4}\:$

$\sf\:=a^{2}+\frac{1}{2} a+\frac{1}{2}a+\frac{1}{4}\:$

$\sf\:=a(a+\frac{1}{2})+\frac{1}{2} (a+\frac{1}{2})\:$

$\sf\:=(a+\frac{1}{2})(a+\frac{1}{2})\:$

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$\large\sf\underline{Question \:no. 2}$

$\sf\:25x^{2}-10x+1\:$

$\sf\:=25x^{2}-(5+5)x+1\:$

$\sf\:=25x^{2}-5x-5x+1\:$

$\sf\:=5x(5x-1)-1(5x-1)\:$

$\sf\:=(5x-1)(5x-1)\:$

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• Thnku ❣