Question

simplify the following:‐ (a‐b) (a²+b²+ab)‐(a+b) (a²+b²‐ab)​

Answer 1

Answer:

Step-by-step explanation:

(b - a)/(a² - b²) = (b - a)/[(a - b)(a + b)]

= [(-1)(a - b)]/[(a - b)(a + b)]

By the Associative Property of Multiplication, i.e, for any numbers a, b, and c, a(bc) = (ab)c, we have:

= [(a - b)/(a - b)][-1/(a + b)]

= [1][-1/(a + b)]

= -1/(a + b) is (b - a)/(a² - b²) simplified.

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Answer 2

Answer:

-2b³ - 2a²b

Step-by-step explanation:

==: (a‐b) (a²+b²+ab) ‐ (a+b) (a²+b²‐ab)​

==: a³ + ab²+ a²b - a²b - b³ - ab² - (a³ + ab²- a²b + a²b + b³ - ab²)

==: a³ + ab²+ a²b - a²b - b³ - ab² - a³ - ab²+ a²b - a²b - b³ + ab²

==:-2b³ - 2a²b

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