The area of a rectangle is expressed as x4 − 16y^4, determine & state the length and the width of the rectangle, expre
ssed as polynomials.
1 answer:
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)
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Step-by-step explanation:
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