Question

6b² + 5b +9 by 5b - 2​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

 (((6a + 5b)2) +  ((6a - 5b)2)) -  (22•52b2)

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  72a2 - 50b2  =   2 • (36a2 - 25b2)  

Trying to factor as a Difference of Squares:

3.2      Factoring:  36a2 - 25b2  

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 :  36  is the square of  6  

Check : 25 is the square of 5

Check :  a2  is the square of  a1  

Check :  b2  is the square of  b1  

Factorization is :       (6a + 5b)  •  (6a - 5b)

Explanation:

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