Question

Simplify (a½ - b½)(a½ + b½)

Answer 1

Answer:

a - b

Step-by-step explanation:

(a½ - b½)(a½ + b½)

= (a½)² - (b½)²

= a - b

Answer 2

Answer:

a - b

Step-by-step explanation:

Assuming you mean:  $(a^\frac12-b^\frac12)(a^\frac12+b^\frac12)$

Apply Difference of Two Squares formula $(a-b)(a+b)=a^2-b^2$:

$\implies (a^\frac12-b^\frac12)(a^\frac12+b^\frac12)=(a^\frac12)^2-(b^\frac12)^2$

Apply the exponent rule $(a^b)^c=a^{bc}$ :

$\implies (a^\frac12)^2-(b^\frac12)^2=a^1-b^1=a-b$