Question

evaluate : [ x + y/2] ²​

Answer 1

Answer :

How to solve your problem

[

+

2

]

2

[x+\frac{y}{2}]^{2}

Simplify

1

Find common denominator

[

+

2

]

2

[x+\frac{y}{2}]^{2}

[

2

2

+

2

]

2

[\frac{2x}{2}+\frac{y}{2}]^{2}

2

Combine fractions with common denominator

Solution

(

2

+

2

)

Answer 2

Given: The equation is$[x+\frac{y}{2} ]^{2}$

We have to evaluate the above equation.

As we know that,

$(a+b)^{2} =a^{2} +2ab+b^{2}$

By using the above identity, we are solving the given equation.

We are solving in the following way:

We have,

$[x+\frac{y}{2} ]^{2}$

Here,

$a=x\\\\b=\frac{y}{2}$

Now,

$[x+\frac{y}{2} ]^{2}$

$\Rightarrow x^{2} +2\times x\times \frac{y}{2} +\frac{y^{2} }{4} \\\\\Rightarrow x^{2}+\frac{2xy}{2} + \frac{y^{2} }{4}\\\\\Rightarrow x^{2}+xy+\frac{y^{2} }{4}$

Hence, the solution of the above equation is$x^{2} +xy+\frac{y^{2} }{4}$.