Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises: 61

(2 - a)(4 + 2a + $a^{2}$)

Work Step by Step

8 - $a^{3}$ is a difference of cubes, so we write it as a difference of cubes and factor: $2^{3}$ - $a^{3}$ = (2 - a)($2^{2}$ + (2)(a) + $a^{2}$) = (2 - a)(4 + 2a + $a^{2}$)

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