The answer is: (a-1/2)(a-1/2) = (a - 1/2)2
explanation:
1. (a ) (a )
2. 1/2 x 1/2 = 1/4
3. -1/2 -1/2 also = -1
4. (a-1/2)(a-1/2)
Check:
FOIL - F=first O=outside I=inside L=last
Multiply first numbers in brackets: a x a = a²
Multiply outside numbers in brackets: a x -1/2 = -1/2a
Multiply inside numbers in brackets: -1/2 x a = -1/2a
Multiply last numbers in brackets: -1/2 x -1/2 = ¼
a² -1/2a -1/2a + ¼ => a² - a + ¼
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