Question

Answer 1

a: \(=\left(x-15\right)^2=\left(5-15\right)^2=100\)

b: \(=\left(2x+y\right)^3=\left(14-4\right)^3=1000\)

c: \(=x^4-x^3\left(x+1\right)+x^2\left(x+1\right)-x\left(x+1\right)+2022\)

\(=-x+2022=2022-24=1998\)

d: \(=\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)-3^{64}+9\)

\(=\left(3^8-1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)-3^{64}+9\)

=-1+9

=8