Question

heyaa

Find the HCF of the following expressions....!

DoNoT SpAm ​

Answer 1

Answer:

1

Step-by-step explanation:

Given Equations are:

(i) 4x² - 12xy + 16z² - 24yz + 16zx

= 4(x² - 3xy + 4z² - 6yz + 4zx)

= 4(x² - 3xy + 2zx + 2zx - 6yz + 4z²)

= 4[x(x - 3y + 2z) + 2z(x - 3y + 2z)]

= 4(x - 3y + 2z)(x + 2z)

= 2 * 2(x - 3y + 2z)(x + 2z)

(ii) 8x³ + 72xyz + 64z³ - 27y³

= (2x + 4z - 3y)(4x² + 16z² + 9y² + 2x(4z) - 4z(3y) - 3y(2x))

= 1

∴ HCF = 1

Hope it helps!

Answer 2

Step-by-step explanation:

HCF of 4x² - 12xy + 16z² - 24yz + 16zx and 8x³ + 72xyz + 64z³ - 27y³ is 1.