Question

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

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

Answer 1

Step-by-step 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

Answer 2

Answer:

x^4 + x^2 + 1/4

Step-by-step explanation:

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

a = x^2

b = 1/2

${a}^{2} + 2ab + {b}^{2}$

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

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