Question

(x+1÷2)×(x+1÷2) solve and simplify

Answer 1

Hope this would help you.

Answer 2

1st Method

$(x+\frac{1}{2} )$  ×  $( x + \frac{1}{2} )$    is like  A × A = A²

Using Identity A × A = A²

⇒ $(x+\frac{1}{2} )$  ×  $( x + \frac{1}{2} )$

⇒ $( x + \frac{1}{2} ) ^{2}$

Using Identity ( a + b )²  =  a² + 2ab + b²

⇒ $( x + \frac{1}{2} ) ^{2}$

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

⇒ x² + x + $\frac{1}{2^{2} }$

$x^{2} + x + \frac{1}{4}$

∴ Simplified answer  ⇒⇒⇒  $x^{2} + x + \frac{1}{4}$

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2nd Method

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

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

⇒ x² + $\frac{1}{2} x$ + $\frac{1}{2} x$ + $\frac{1}{4}$

⇒ x² + x + $\frac{1}{4}$

∴ Simplified answer  ⇒⇒⇒  $x^{2} + x + \frac{1}{4}$

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Hope It Helps You !   :D       ^_^

By Abhiram5566

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