Enter an equation or problem
Camera input is not recognized!

Solution - Other Factorizations

9(5a+2b)(5a2b)
9*(5a+2b)*(5a-2b)

Other Ways to Solve

Other Factorizations

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step  1  :

Equation at the end of step  1  :

  (225 • (a2)) -  (22•32b2)

Step  2  :

Equation at the end of step  2  :

  (32•52a2) -  (22•32b2)

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   225a2 - 36b2  =   9 • (25a2 - 4b2) 

Trying to factor as a Difference of Squares :

 4.2      Factoring:  25a2 - 4b2 

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 :  25  is the square of  5 
Check : 4 is the square of 2
Check :  a2  is the square of  a1 

Check :  b2  is the square of  b1 

Factorization is :       (5a + 2b)  •  (5a - 2b) 

Final result :

  9 • (5a + 2b) • (5a - 2b)

Why learn this

Latest Related Drills Solved