walt6985 walt6985

15-06-2022
Mathematics

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Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 ab b2)

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Medunno13 Medunno13

15-06-2022

Answer:

Step-by-step explanation:

Expanding the right-hand side,

[tex](a-b)(a^{2}+ab+b^{2})=a^{3}+a^{2}b+ab^{2}-a^{2}b-ab^{2}-b^{3}=a^{3}-b^{3}[/tex]

Thus, the identity is true.

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