1+2a
2m−8a
2
m
:
2am
2
−m
4am
2
−2m
2
Divide
1+2a
2m−8a
2
m
by
2am
2
−m
4am
2
−2m
2
by multiplying
1+2a
2m−8a
2
m
by the reciprocal of
2am
2
−m
4am
2
−2m
2
.
(1+2a)(4am
2
−2m
2
)
(2m−8a
2
m)(2am
2
−m)
Factor the expressions that are not already factored.
2(2a−1)(2a+1)m
2
2(−2a−1)(2a−1)m
2
(2am−1)
Extract the negative sign in −1−2a.
2(2a−1)(2a+1)m
2
−2(2a−1)(2a+1)m
2
(2am−1)
Cancel out 2(2a−1)(2a+1)m
2
in both numerator and denominator.
−(2am−1)
Expand the expression.
−2am+1
