Question

simplify
sqrt(1-a)+h *(sqrt(1-a))

Answer 1

Is this the equation?:
\[\sqrt{1-a}+h\sqrt{1-a}\]

Answer 2

yes

Answer 3

\[\sqrt{1-a}(1+h)\]

Answer 4

Alright. So the principle here is factoring. Watch carefully: Let \(u=\sqrt{1-a}\). We can simplify this to
\[\sqrt{1-a}+h\sqrt{1-a}=u+hu.\]
YOO-HOO! lol. Sorry. minor observation. ehh so normally if we have a formula in the form: \(a(1+b)=a+ab\). In this case \(u+hu=u(1+h)\). So then we can substitute \(\sqrt{1-a}\) back in:
\[u+hu=u(1+h)=\sqrt{1-a}(1+h)\] as authentication error aptly "blurted" haha ;)

Answer 5

thanks

Answer 6

Anytime!