Question

Expand (x/2+y+1/4)² in a correct way and step by step

Answer 1

$( \frac{x}{2} + y + \frac{1}{4} ) {}^{2}{(by \: (a + b + c) {}^{2} = {a}^{2} + {b}^{2} + c {}^{2} + 2ab + 2bc + 2ac } \\ = (\frac{x}{2} ) {}^{2} + (y) {}^{2} + (\frac{1}{4}) {}^{2} + 2 \times \frac{x}{2} \times y + 2 \times y \times \frac{1}{4} + 2 \times \frac{x}{2} \times \frac{1}{4} \\ = \frac{x {}^{2} }{4} + y {}^{2} + \frac{1}{16} + xy + \frac{y}{2} + \frac{x}{4} ans..$

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Answer 2

Answer:

x

+y+

4

1

)

2

(by(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ac

=(

2

x

)

2

+(y)

2

+(

4

1

)

2

+2×

2

x

×y+2×y×

4

1

+2×

2

x

×

4

1

=

4

x

2

+y

2

+

16

1

+xy+

2

y

+

4

x

ans..