Answer:
Distribute and multiply term-wise.
Step-by-step explanation:
A) (4x² - 4x)(x² - 4)
Distribute it and multiply them.
We have: [tex]$ (4x^2)(x^2) - 4x^2(4) - 4x(x^2) + 4x(4) $[/tex]
[tex]$ = 4x^4 - 4x^3 - 16x^2 + 16 $[/tex]
This is the product after distribution.
B) (x² + x - 2)(4x² - 8x)
Using the same method as above we get:
[tex]$ x^2(x^2) - x^2(8x) + x(4x^2) - x(8x) - 2(4x^2) + 2(8x) $[/tex]
[tex]$ = 4x^4 - 8x^3 + 4x^3 - 8x^2 - 8x^2 + 16x $[/tex]
[tex]$ = 4x^4 - 4x^3 - 16x^2 + 16x $[/tex] is the required answer.
