Answer:
The simplified expression is given as
[tex]8x^2y^4(17x^2-2)[/tex]
Step-by-step explanation:
step one:
Given the expression
[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]
step two:
First, let us open the bracket we have
[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\[/tex]
step three:
collect like terms we have
[tex]x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\[/tex]
step four:
we can now factor out [tex]8x^2y^4[/tex]we have
[tex]8x^2y^4(17x^2-2)[/tex]
