Simplify the following:
(i) a2 (b2 – c2) + b2 (c2 – a2) + c2 (a2 – b2)
(ii) x2(x – 3y2) – xy(y2 – 2xy) – x(y3 – 5x2)
(iii) 2x2(x + 2) – 3x (x2 – 3) – 5x(x + 5)
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Answer:
i) 0
Step-by-step explanation:
=a²(b²-c²)+b²(c²-a²)+c²(a²-b²)
=a²b²-a²c²+b²c²-a²b²+a²c²-b²c² (Multiplying by opening the brackets)
=a²b²-a²b²+b²c²-b²c²+c²a²-c²a²
= 0 (On canceling)
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