1) \(\left(5x+3yz\right)^2=25x^2+30xyz+9y^2z^2\)
2) \(\left(y^2z-3ab\right)^2=y^4z^2-6y^2zab+9a^2b^2\)
3) \(\left(x^2-6z\right)\left(x^2+6z\right)=x^4-36z^2\)
4) \(\left(2x-3\right)^3=8x^3-36x^2+54x-27\)
5) \(\left(a+2b\right)^3=a^3+6a^2b+12ab^2+8b^3\)
6) \(\left(5x+2y\right)^2=25x^2+20xy+4y^2\)
7) \(\left(-3x+2\right)^2=9x^2-12x+4\)
8) \(\left(\dfrac{2}{3}x+\dfrac{1}{3}y\right)^2=\dfrac{4}{9}x^2+\dfrac{4}{9}xy+\dfrac{1}{9}y^2\)
9) \(\left(2x-\dfrac{5}{2}y\right)^2=4x^2-10xy+\dfrac{25}{4}y^2\)
10) \(\left(x+\dfrac{4}{3}y^2\right)^2=x^2+\dfrac{8}{3}xy^2+\dfrac{16}{9}y^4\)
11) \(\left(2x^2+\dfrac{5}{3}y\right)^2=4x^4+\dfrac{20}{3}x^2y+\dfrac{25}{9}y^2\)
12) \(\left(\dfrac{1}{2}-x\right)^3=\dfrac{1}{8}-\dfrac{3}{4}x+\dfrac{3}{2}x^2-x^3\)
13) \(\left(2x-1\right)^3=8x^3-12x^2+6x-1\)
14) \(\left(2x-3y\right)^3=8x^3-36x^2y+54xy^2-27y^3\)
15) \(\left(0,01-xy\right)^3=1\cdot10^{-6}-3\cdot10^{-4}xy+0,03x^2y^2-x^3y^3\)
16) \(\left(\dfrac{1}{2}+x\right)^3=\dfrac{1}{8}+\dfrac{3}{4}x+\dfrac{3}{2}x^2+x^3\)
17: (2x+1)^3
=(2x)^3+3*(2x)^2+3*2x+1
=8x^3+12x^2+6x+1
18: (2x+3y)^3
=(2x)^3+3*4x^2*3y+3*2x*9y^2+27y^3
=8x^3+27y^3+36x^2y+54xy^2
19: (0,01+xy)^3
=(1/100)^3+3*(1/100)^2*xy+3*1/100*x^2y^2+x^3y^3
=x^3+y^3+1/10^6+3/10^4*xy+3/100*x^2y^2
