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What is the factored form of b^3 - 1,000?

What is the factored form of b^3 - 1,000?-example-1

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Answer:

Explanation:

Factoring: b3-1000 Theory : A difference of two perfect cubes, a3 - b3 can be factored into (a-b) • (a2 +ab +b2) Proof : (a-b)•(a2+ab+b2) = a3+a2b+ab2-ba2-b2a-b3 = a3+(a2b-ba2)+(ab2-b2a)-b3 = a3+0+0-b3 = a3-b3 Check : 1000 is the cube of 10 Check :b3 is the cube of b1 Factorization is : (b - 10) • (b2+ 10b + 100)

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