a) \(\left(4x-5\right)^2\)
\(=\left(4x\right)^2-2\cdot4x\cdot5+5^2\)
\(=16x^2-40x+25\)
b) \(\left(-x+0,3\right)^2\)
\(=\left(-x\right)^2+2\cdot\left(-x\right)\cdot0,3+\left(0,3\right)^2\)
\(=x^2-0,6x+0,09\)
c) \(\left(-x-10y\right)^2\)
\(=\left(-x\right)^2+2\cdot\left(-x\right)\cdot\left(-10y\right)+\left(-10y\right)^2\)
\(=x+20xy+100y^2\)
d) \(\left(a^3-3a\right)^2\)
\(=\left(a^3\right)^2-2\cdot a^3\cdot3a+\left(3a\right)^2\)
\(=a^6-6a^4+9a^2\)
a: \(\left(4x-5\right)^2=\left(4x\right)^2-2\cdot4x\cdot5+5^2=16x^2-40x+25\)
c: \(\left(-x+0.3\right)^2=\left(-x\right)^2+2\cdot\left(-x\right)\cdot0.3+0.3^2\)
\(=x^2-0.6x+0.09\)
d: \(\left(-x-10y\right)^2=\left(x+10y\right)^2\)
\(=x^2+2\cdot x\cdot10y+\left(10y\right)^2\)
\(=x^2+20xy+100y^2\)
e: \(\left(a^3-3a\right)^2\)
\(=\left(a^3\right)^2-2\cdot a^3\cdot3a+\left(3a\right)^2\)
\(=a^6-6a^4+9a^2\)
