Question

factorise (a+b)(a³-b³)-a^4+b^4​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given that:-

(a+b)(a³-b³)-a^4+b^4

=>(a+b)(a³-b³)-(a⁴-b⁴)

=>[(a+b)(a-b)(a²+ab+b²)]-[(a²+b²)(a²-b²)]

=>[(a+b)(a-b)(a²+ab+b²)]-[(a²+b²)(a+b)(a-b)]

=>(a+b)(a-b)[(a²+ab+b²)-(a²+b²)]

=>(a+b)(a-b)[a²+ab+b²-a²-b²]

=>(a+b)(a-b)(ab)

(a+b)(a³-b³)-a⁴+b⁴=(a+b)(a-b)(ab)