Simplify (a² − b²)(a² + ab + b²) ÷ [(a³ − b³)(a + b)].

1. a² − b² = (a − b)(a + b) and a³ − b³ = (a − b)(a² + ab + b²). Everything cancels, leaving 1.

Simplify $(a^{2} - b^{2}) (a^{2} + ab + b^{2}) \div [(a^{3} - b^{3}) (a + b)]$ .

Competition practiceAlgebra

a^{2} - b^{2} = (a - b) (a + b)

and

a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2})

. Everything cancels, leaving 1.

Answer: A) 1

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