A square - AB + B square is a factor of: i) A cube - B cube. ii) A cube + B cube. iii) (a+b) whole cube. iv) (a-b) whole cube. Explain How!

asked Mar 10, 2021 190k views

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A square - AB + B square is a factor of:

i) A cube - B cube. ii) A cube + B cube. iii) (a+b) whole cube. iv) (a-b) whole cube.

Explain How!

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3 votes

A^2-AB+B^2 is a factor of A^3+B^3. The other factor is just A+B because it’s factoring a sum of cubes.

Benjamin answered Mar 16, 2021

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