Question

given that x=2 and y=5 calculate the value of ​

Answer 1

Answer:

(i) (2xy - 4x² + y)/x³ = (9/8)

(ii) (x + y)² - (x - y)² 40

Step-by-step explanation:

We have,

x = 2

y = 5

Then,

(i)

(2xy - 4x² + y)/x³

= [2(2)(5) - 4(2)² + 5]/(2)³

= [20 - 16 + 5)/8

= (9/8)

Hence,

(2xy - 4x² + y)/x³ = (9/8)

(ii)

(x + y)² - (x - y)²

Using identities,

= x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= 4xy

= 4(2)(5)

= 40

OR

[(2) + (5)]² - [(2) - (5)]²

= 7² - (-3)²

= 49 - 9

= 40

Hence,

(x + y)² - (x - y)² = 40

Hope it helped you and believing you understood it...All the best