8. The length, breadth and height of a room is 4 m, 3.5 m and 2.5 m. Find the volume of air it contains. anothic 125 m breadth is 850 man
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Step-by-step explanation:
Note that the first and last terms are perfect cubes and find:
27
x
3
+
54
x
2
+
36
x
+
8
=
(
3
x
+
2
)
3
Explanation:
Notice that the ratio between the first and second coefficients is not the same as that between the third and fourth.
That is:
27
54
≠
36
8
So this does not factor by grouping.
Note that the first and last terms are both perfect cubes:
27
x
3
=
(
3
x
)
3
8
=
2
3
So we might try
(
3
x
+
2
)
3
:
(
3
x
+
2
)
3
=
27
x
3
+
54
x
2
+
36
x
+
8
Yes - that's our factoring.
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