Question

144 x square —64y square ​

Answer 1

Answer:

STEP

1  

:

Equation at the end of step

1  

:

 (144 • (x2)) -  26y2

STEP  

2  

:

Equation at the end of step

2  

:

 (24•32x2) -  26y2

STEP

3  

:

STEP

4  

:

Pulling out like terms :

4.1     Pull out like factors :

  144x2 - 64y2  =   16 • (9x2 - 4y2)  

Trying to factor as a Difference of Squares :

4.2      Factoring:  9x2 - 4y2  

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 :  9  is the square of  3  

Check : 4 is the square of 2

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (3x + 2y)  •  (3x - 2y)  

Final result :

(plz mark me brainliest)