125÷343x^3+1+30÷49x^2+15÷7x
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For example
Step-by-step explanation:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
73x3 - 125
STEP
2
:
Trying to factor as a Difference of Cubes:
2.1 Factoring: 343x3-125
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 : 343 is the cube of 7
Check : 125 is the cube of 5
Check : x3 is the cube of x1
Factorization is :
(7x - 5) • (49x2 + 35x + 25) A
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