Simplify: a2b (a3– a + 1) – ab(a4 – 2a2 + 2a) – b(a3– a2 �

1.	Simplify: a2b (a3– a + 1) – ab(a4 – 2a2 + 2a) – b(a3– a2 – 1)
Answer» a²b (a³– a + 1) – ab(a⁴ – 2a² + 2a) – b(a³– a² – 1) = a⁵b – a³b + a²b – a⁵b + 2a³b – 2a²b – ba³ + a²b + b = a⁵b – a⁵b – a³b + 2a³b – ba³ + a²b – 2a²b + a²b + b = b

Simplify: a2b (a3– a + 1) – ab(a4 – 2a2 + 2a) – b(a3– a2 – 1)

Answer»

a²b (a³– a + 1) – ab(a⁴ – 2a² + 2a) – b(a³– a² – 1)

= a⁵b – a³b + a²b – a⁵b + 2a³b – 2a²b – ba³ + a²b + b

= a⁵b – a⁵b – a³b + 2a³b – ba³ + a²b – 2a²b + a²b + b

= b

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