Reviewing for precalc and I dont understand how to completely factor expressions with rational exponents. a) x^frac{5}{2} - 9x^{frac{1}{2}} b) x^{-frac{2}{3}}+2x(-frac{1}{2})+x^{frac{1}{2}}

Josalynn

Josalynn

Answered question

2021-02-19

Reviewing for precalc and I dont understand how to completely factor expressions with rational exponents.
a)x529x12
b)x23+2x(12)+x12

Answer & Explanation

Layton

Layton

Skilled2021-02-20Added 89 answers

a)Given:
x529x12
On simplification, we get
x529x12=x2x129x12[xmxn=xm+nx2x12=x2+12=x52]
=x12(x29)
=x12(x232)
=x12(x3)(x+3)[a2b2)=(ab)(a+b)]
b)Given:
=x32+2x(12)+x12
On simplification, we get
x32+2x(12)+x12=x32+2x(32)x+x32x2[(xmxn=xm+n(x32x=x32+1=x12)
And x32x2=x32+2=x12
x32(1+2x+x2)
=x32(1+x)2[(1+x)2=1+2x+x2]

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?