Question

(1) factorize 49y^3 - 1000 using the above results
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Answer 1

Answer:

Factoring 49y^3-1000.

Step-by-step explanation:

Theory:A difference of two perfect cubes,a√3-b√3 can be factored into(a-b)*(a√2+ab+b√2).

proof:(a-b)*(a√2+ab+b√2)

=a√3+a√2b+ab-va√2-b√2a-b√3

=a√3+(a√2b-ba√2)+(ab√2-b√2a)-b√3

=a√3+0+0+b√3

=a√3+b√3