Question

(x+ ___) ²= x²+xy+1/4y²
$(x + )^{2} = {x}^{2} + \frac{1}{4} {y}^{2}$
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Answer 1

Step-by-step explanation:

$\mathtt \red{ \implies(x + {\underline \frac{1}{2} \underline{y}}) {}^{2} }$

$\boxed{\mathtt \pink{ \implies {x}^{2} + \cancel2 \times x \times \frac{1}{ \cancel{2}}y \times (\frac{1}{2}y ){}^{2} }}$

$\mathtt \purple{ \implies {x}^{2} + xy + \frac{1}{4} y {}^{2} }$

$\mathtt \green {\underline{\therefore \: you r \: answer \: is \: \frac{1}{2} y.}}$

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Answer 2

Answer:

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

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