Question

evaluate (2a-1/2)(2a-1/2)​

Answer 1

Answer:

(a+b)²=a²+b²+2ab

(2a-1/2)(2a-1/2)

(2a-1/2)²=(2a)²+(1/2)²-2(2a)(1/2)=4a²+1/4-2a

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Answer 2

Answer:

$given \: that \\ (2a - \frac{1}{2} )(2a - \frac{1}{2} ) \\ = > {(2a - \frac{1}{2} })^{2} \\ we \: know \: that \: {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ here \: a = 2a \: and \: b = \frac{1}{2} \\ {(2a)}^{2} - 2(2a)( \frac{1}{2} ) + { (\frac{1}{2}) }^{2} \\ = > 4 {a}^{2} - 2a + \frac{1}{4} \\ \: (2a - \frac{1}{2} )(2a - \frac{1}{2} ) = 4 {a}^{2} - 2a + \frac{1}{4}$