Find the product of (x² - 5)² using identities

Step-by-step explanation:

by idetity : (a - b)²= a² +b² -2ab

for : (x² - 5)² you have  a = x²  and b = 5

(x² - 5)²= (x²)²+5² - 2(5)(x²)

(x² - 5)²= x^4+25 -10x²

yeah and

step-by-step explanation:

you know what it isnt great cheating

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18