Calculate the product value
#Find the value
dire swift
glad sapphireBOT
quartz sapphire
Calculate the product value
x^4+324=f(x)f(x+6), where f(x)=x^2-6x+18. So it equals f(10)f(16)...f(64)/(f(4)f(10)...f(58)). Everything cancels out leaving only f(64)/f(4)=373.
umbral lantern
x^4+324=f(x)f(x+6), where f(x)=x^2-6x+18. So it equals f(10)f(16)...f(64)/(f(4)f...
Pardon me how did u get x²-6x+18 ? Thx
quartz sapphire
Pardon me how did u get x²-6x+18 ? Thx
I factorized x⁴+324 by completing a square: x⁴+324=(x²)²+2 * 18x²+18²-2 * 18x²=(x²+18)²-(6x)².
umbral lantern
Ok