Question

factorise the following by using identity or regrouping the terms no Google solution is accepted ?
step by step answer ​

Answer 1

Answer:

Factorization is :

             (2x + 7)  •  (4x2 - 14x + 49) 

Step-by-step explanation:

STEP1:Equation at the end of step 1 23x3 + 343 STEP2:Trying to factor as a Sum of Cubes

 2.1      Factoring:  8x3+343 

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 :  8  is the cube of  2 

Check :  343  is the cube of   7 

Check :  x3 is the cube of   x1

Factorization is :

             (2x + 7)  •  (4x2 - 14x + 49) 

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Answer 2

$factors \: are \: (2x - 7)(4 {x}^{2} + 14x + 49)$

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