8. If a - b = 4 and ab = 45, then
the value of (a3-b3) is
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1
Answer:
a
3
−b
3
=(a−b)(a
2
+ab+b
2
)
a
3
−b
3
=(a−b)(a
2
−2ab+b
2
+2ab+ab)
a
3
−b
3
=(a−b)[(a−b)
2
+3ab]
a
3
−b
3
=4×(4
2
+3×45)=4×(16+135)=4×151=604
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