a) \(D=45^2+40^2-15^2+80.45=\left(45^2+80.45+40^2\right)-15^2=\left(45+40\right)^2-15^2=85^2-15^2=\left(85-15\right)\left(85+15\right)=70.100=7000\)
b) \(A=x^3-6x^2+12x-8=\left(x-2\right)^3=\left(12-2\right)^3=10^3=1000\)
c) \(B=x^2+4y^2-4xy=\left(x-2y\right)^2=\left(18-2.4\right)^2=10^2=100\)
d) \(C=x^3+3x-3x^2-1=\left(x-1\right)^3=\left(101-1\right)^3=100^3=1000000\)
\(a,D=\left(45+40\right)^2-15^2=95^2-15^2\\ D=\left(95-15\right)\left(95+15\right)=80\cdot110=8800\\ b,A=\left(x-2\right)^3=\left(12-2\right)^3=10^3=1000\\ c,B=\left(x-2y\right)^2=\left(18-8\right)^2=10^2=100\\ d,C=\left(x-1\right)^3=\left(101-1\right)^3=100^3=1000000\)
