Simplify: a^2(a-b+c)+b^2(a+b-c)-c^2(a-b-c)
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Answer:
a³+ b³+ c³- ab(a-b) - bc(b-c) + ac (a-c)
Step-by-step explanation:
= a³ - a²b + a²c + b²a + b³ - b²c - c²a + c²b + c³
= a³+ b³+ c³- a²b+ b²a - b²c + c²b + a²c - c²a
= a³+ b³+ c³-ab(a-b) - bc(b-c) + ac (a-c)
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