factorise, x^3 - 1/x^3 -2x + 2/x
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Answer:
x
3
+
x
3
1
−2
x
3
+
x
3
1
+1−3
∵x
3
+y
3
+z
3
−3xyz=(x+y+z)(x
2
+y
2
+z
2
−xy−yz−zx)
⇒x
3
+
x
3
1
+1
3
−3×x×
x
1
×1
=(x+
x
1
+1)(x
2
+
x
2
1
+1−1−
x
1
−x)
=(x+
x
1
+1)(x
2
+
x
2
1
−
x
1
−x)
safty safe
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