Question

[8a3b-4]2/3
[64a-9b2]​

Answer 1

Answer:

64 • (a2)) - 32b2

STEP 2 :

Equation at the end of step2:

26a2 - 32b2

STEP3:Trying to factor as a Difference of Squares

 3.1      Factoring:  64a2-9b2 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 = 

         A2 - B2

Note :  AB = BA is the commutative property of multiplication. 

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  64  is the square of  8 

Check : 9 is the square of 3

Check :  a2  is the square of  a1 

Check :  b2  is the square of  b1 

Factorization is :       (8a + 3b)  •  (8a - 3b) 

Final result :

(8a + 3b) • (8a - 3b)

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