17-05-2019
Mathematics

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multiply (a-2)(2a^2-5a-2)

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Ammimochi Ammimochi

17-05-2019

Distribute sum groups

a(2a^2 - 5a - 2) - 2(2a^2 - 5a - 2)

Expand

2a^3 - 5a^2 - 2a - (4a^2 - 10a - 4)

Simplify brackets

2a^3 - 5a^2 - 2a - 4a^2 + 10a + 4

Collect like terms

2a^3 + (-5a^2 - 4a^2) + (- 2a + 10a) + 4

Simplify

= 2a^3 - 9a^2 + 8a + 4

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