Question

Factorise: a^4(b-c) +b^4(c-a) +c^4(a-b) ​

Answer 1

Answer:

$\mathbb{\huge{\underline{\underline{\red{ANSWER}}}}}$

= a⁴ (b- c) + b⁴(c-a) + c⁴(a-b)

= b(a⁴-c⁴) + ac(c³-a³) + b⁴(c-a)

= a⁴(b-c) + b⁴(c-a) + c⁴(a-b)

= (c-a) (-ba³-bc³-a²bc - abc² + ac³b+ c³a + a²c² + b⁴)

= ( a - b) (a-c) (b-c) (a²+ab+ac+b²+bc+c²)

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Answer 2

Answer:

( a - b) (a-c) (b-c) (a²+ab+ac+b²+bc+c²)

Step-by-step explanation:

= a⁴ (b- c) + b⁴(c-a) + c⁴(a-b)

= b(a⁴-c⁴) + ac(c³-a³) + b⁴(c-a)

= a⁴(b-c) + b⁴(c-a) + c⁴(a-b)

= (c-a) (-ba³-bc³-a²bc - abc² + ac³b+ c³a + a²c² + b⁴)

= ( a - b) (a-c) (b-c) (a²+ab+ac+b²+bc+c²)

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