Question

.(1) 7V3 +113 please answer​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

7dotv3 + 113

STEP

2

:

Trying to factor as a Sum of Cubes:

2.1 Factoring: 7dotv3+113

Theory : A sum 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 : 7 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

7dotv3 + 113

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