Question

(1) (√3+1)^4 - (√3-1)^4​

Answer 1

⭐Solution⭐

➡Given here

(√3+1)⁴ - (√3-1)⁴=❓

we know,

(x²-y²)= (x+y)(x-y)

So,

[ (√3+1)²]² - [ (√3-1)²]²

= [ (√3+1)²+(√3-1)²] [ (√3+1)²-(√3-1)²]

= [ (3+1 +2√3)+(3+1-2√3)][(√3+1)+√3-1)][(√3+1)-(√3-1)]

= [ 4+4 +2√3 -2√3] [ 2√3][2]

= 8×2×(2√3)

= 32√3

✨Thats Answer✨