how can i write the following equation in the below form

Question

anonymous · Answer

$$(1-x)^{\frac{1}{2}} (1+x)^{\frac{3}{2}}$$
to

(1 + x)√(1 − x^2).

@Vincent-Lyon.Fr

amistre64 · Answer

anything that is /2 is a sqrt to begin with.  then it may just be a matter of reducing whats left; unless you want to reduce the exponents to begin with

amistre64 · Answer

$$a^{1/2}b^{3/2}$$
$$a^{1/2}~b^{2/2+1/2}$$
$$a^{1/2}~b^{2/2}~b^{1/2}$$
$$b(a^{1/2}b^{1/2})$$
etc...

anonymous · Answer

$$(1-x)^{\frac{1}{2}}(\sqrt{1-x})^3$$

anonymous · Answer

ohhh

amistre64 · Answer

and ideally, your notation would be corrected as:$$(1-x)^{\frac{1}{2}}\sqrt{~(1-x)^3~}$$

amistre64 · Answer

lol,  and with a + in it ... but its early

anonymous · Answer

$$(1+x)(\sqrt{1-x}\sqrt{1+x})$$

amistre64 · Answer

yep, and how do conjugates multiply?

anonymous · Answer

hmmm?

amistre64 · Answer

(m-n)(m+n)

conjugates are binomials with opposite operation ...

(m-n)(m+n) = m^2 - n^2

anonymous · Answer

yeah then it should be 
$$(1+x)(\sqrt{1-x^2})$$

anonymous · Answer

is tht right?

anonymous · Answer

lol just realised that i got the answer :)