Question

factorize 64 x square - 25 y square​

Answer 1

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step by step explanation:--

{  1}

  :step  1  : (64 • (x2)) - 52y2 Step  2  :Equation at the end of step  2  : 26x2 - 52y2 Step  3  :Trying to factor as a Difference of Squares : 3.1      Factoring:  64x2-25y2 

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.

;;;;; : 64  is the square of  8 

;;;; : 25 is the square of 5

;;;;: x2  is the square of  x1 

:::::::: :  y2  is the square of  y1 

Factorization is :       (8x + 5y)  •  (8x - 5y) 

answer[ (8x + 5y) • (8x - 5y) }

hope it helps:--

T!—!ANKS!!!

Answer 2

$\boxed{a^{2}-b^{2}\:=\:(a+b)(a-b)}$

So,

64x² - 25 y²

>> (8x)² - (5y)²

>>(8x + 5y)(8x - 5y)