Question

$(x + \frac{1}{2} ) ^{2}$
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Answer 1

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✯ $(x + \frac{1}{2} ) ^{2}$

=> Using the identity :- ( a + b )² = a² + b² + 2ab

=> (x)² + $( \frac{1}{2} ) ^{2}$ + 2 × x × $\frac{1}{2}$

=> x² + $\frac{1}{4}$ + x

Answer 2

Answer:

p(x) = x² + x + $\frac{1}{4}$

Step-by-step explanation:

(x + $\frac{1}{2}$)²

x² + ($\frac{1}{2}$)² + 2($\frac{1}{2}$)(x)

x² + $\frac{1}{4}$ + x

p(x) = x² + x + $\frac{1}{4}$