Question

A) (x^2 + 1/2)^2

using the formula:
(a+b)^2= a^2+2ab+b^2​

Answer 1

x^4 + x^2 + 1/4

Explanation:

`{( {x}^(2) + (1)/(2) })^(2)`

a = x^2

b = 1/2

`{a}^(2) + 2ab + {b}^(2)`

`({x {}^(2)) }^(2) + 2( {x}^(2) )( (1)/(2) ) + { (1)/(2) }^(2)`

`{x}^(4) + {x}^(2) + (1)/(4)`

Answer 2

Explanation:

(x^2+1/2)^2=(x^2)^2+2*x^2*1/2+(1/2)^2=

x^4+(2x^2)/2+1/4=

x^4+x^2+1/4