Step-by-step explanation:
Divide a fraction by multiplying its reciprocal:
2
�
2
−
11
�
+
12
�
+
5
×
1
4
�
2
−
6
�
x+5
2x
2
−11x+12
×
4x
2
−6x
1
Factor Greatest Common Factors out:
2
�
2
−
11
�
+
12
�
+
5
×
1
2
�
(
2
�
−
3
)
x+5
2x
2
−11x+12
×
2x(2x−3)
1
Rewrite the term:
2
�
2
−
3
�
−
8
�
+
12
�
+
5
×
1
2
�
(
2
�
−
3
)
x+5
2x
2
−3x−8x+12
×
2x(2x−3)
1
Regroup terms into two proportional parts:
(
2
�
2
−
3
�
)
+
(
−
8
�
+
12
)
�
+
5
×
1
2
�
(
2
�
−
3
)
x+5
(2x
2
−3x)+(−8x+12)
×
2x(2x−3)
1
Factor Greatest Common Factors out:
�
(
2
�
−
3
)
−
4
(
2
�
−
3
)
�
+
5
×
1
2
�
(
2
�
−
3
)
x+5
x(2x−3)−4(2x−3)
×
2x(2x−3)
1
Factor Greatest Common Factors out:
(
2
�
−
3
)
(
�
−
4
)
�
+
5
×
1
2
�
(
2
�
−
3
)
x+5
(2x−3)(x−4)
×
2x(2x−3)
1
Cross out the common factor:
�
−
4
�
+
5
×
1
2
�
x+5
x−4
×
2x
1
Write as a single fraction:
�
−
4
(
�
+
5
)
×
2
�
(x+5)×2x
x−4
Multiply the monomials:
�
−
4
2
�
(
�
+
5
)
2x(x+5)
x−4
