a)
[tex]4x(x^2-5x)=4x^3-20x^2[/tex]
b)
[tex]z^2(2z-3)=2z^3-3z^2[/tex]
c)
[tex]4(p-2)+2(3-p)=4p-8+6-2p=2p-2[/tex]
d)
[tex]5(k-3) - k(4-k)=5k-15-4k+k^2=k^2+k-15[/tex]
e)
[tex]-3z(z-6) - 2z(-3-2z)=-3z^2+18z+6z+6z^2=3z^2+24z[/tex]
f)
[tex](7c+4)(4-2c)=28c-14c^2+16-8c=-14c^2+20c+16[/tex]
g)
[tex](2x-4y)(2y-3x)=4xy-6x^2-8y^2+12xy=-6x^2+16xy-8y^2[/tex]
h)
[tex](4w-3s)(-3s-2w) - 3sw=-12sw-8w^2+9s^2+6sw=9s^2-6sw-8w^2[/tex]
i)
[tex](3a+2)^2=9a^2+12a+4[/tex]
j)
[tex](8p-2k)^2=64p^2-32pk+4k^2[/tex]
k)
[tex](-4x-3y)(y-2x)+x(2y+2)=-4xy+8x^2-3y^2+6xy+2xy+2x=8x^2+4xy+2x-3y^2[/tex]
l)
[tex](c-3)(c+4) -(c+2)(5-3c)=c^2+4c-3c-12-5c+3c^2-10+6c=4c^2 + 2c - 22[/tex]
m)
[tex](3u-2p)(p-u) +(2u-p)(p^2-2)=3up-3u^2-2p^2+2pu+2up^2-4u-p^3+2p=- p^3 + 2p^2u - 2p^2 + 5pu + 2p - 3u^2 - 4u[/tex]
n)
[tex](2a -3b)(-2b-2a)-(a+3b)^2=-4ab-4a^2+6b^2+6ab-a^2-6ab-9b^2=- 5a^2 - 4ab - 3b^2[/tex]
o)
[tex](-2m +3n)(n-m) +(-n +m)m=-2mn+2m^2+3n^2-3nm-nm+m^2=3m^2 - 6mn + 3n^2[/tex]
