Question

$2 {x}^{5} - 3 {2y}^{4} x$

Answer 1

heya mate here is the answer

hope this helps u

Answer 2

HI,
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Step  1  :

Equation at the end of step  1  : 

(2 • ($x^{5}$)) - (25$y^{4}$ • x)

 Step  2  :

Now,
Equation at the end of step  2  :

 2$x^{5}$ - 25x$y^{4}$  


Step  3  :Pulling out like terms :

 

3.1     Pull out like factors :

   

2$x^{5}$ - 32x$y^{4}$  =   2x • ($x^{4}$ - 16$y^{4}$) 

 Factoring as a Difference of Squares :

 3.2      Factoring:  $x^{4}$ - 16$y^{4}$ 

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Factorization is :       ($x^{2}$ + 4$y^{2}$)  •  ($x^{2}$ - 4$y^{2}$) 

Trying to factor as a Difference of Squares :

 3.3      Factoring:  $x^{2}$ - 4$y^{2}$

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

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∴→Final result : 2x • (x + 4$y^{2}$) • (x + 2y) • (x - 2y)

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