1.

125÷343x^3+1+30÷49x^2+15÷7x​

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Answer:

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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