What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?
2 answers:
Answer:
(5x+7)^3
Step-by-step explanation:
(a+b)^3=a^3+3a^2b+3ab^2+b^3
- 125x^3 + 525x^2 + 735x + 343=
- (5x)^3+3*(5x)^2*7+3*5x*7^2+7^3=
- (5x+7)^3
Answer:
Step-by-step explanation:
1. regroup terms

2. Rewrite
as
and 343 as 

3. Since both terms are perfect cubes, factor using the sum of cubes formula,
, where
and 


4. Factor
out of 

5. Regroup


6. Factor again


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