The area of a rectangle is expressed as x4 − 16y^4, determine & state the length and the width of the rectangle, expre

Question

3 years ago

10

ssed as polynomials.

1 answer:

Bad White [126] · Answer 1 · 2022-07-30T18:18:19+03:00

Answer:

Step-by-step explanation:

16 = 2 *2 * 2 * 2 = 2⁴

16y⁴ = (2y)⁴

x⁴ - 16y⁴ = x⁴ - (2y)⁴

= (x²)² - [ (2y)² ]²

{Use identity = a² -b² =(a +b)(a- b). Here a =x² & b =(2y)²}

= (x² + (2y)² ) (x² - (2y)² )

= (x² + 4y²) (x² - 4y²)

The area of a rectangle is expressed as ​x4​ ​ − 16​y^4​, determine & state the length and the width of the rectangle, expre