Zadanie 5:
a) [tex]\frac{3}{4}x+0,75y^{2} -\frac{1}{4} z^{3} =\frac{3}{4}x+\frac{3}{4}y^{2} -\frac{1}{4} z^{3} =\frac{1}{4}*( 3x+3y^{2} -1 z^{3})[/tex]
b) [tex]\frac{1}{3}a -\frac{2}{3} b^{2}+1\frac{1}{3} c^{3} =\frac{1}{3}a -\frac{2}{3} b^{2}+\frac{4}{3} c^{3}= \frac{1}{3} *(1}a -2 b^{2}+3 c^{3})[/tex]
c) [tex]0,125c-\frac{1}{8} bz^{2}+0,25 a^{3}=0,125c-0,125bz^{2}+0,25 a^{3}=0,25(0,5c-0,5bz^{2}+ax^{3} )[/tex]
Zadanie 6:
a) [tex]-\sqrt{3}+4\sqrt{3} y = \sqrt{3}*(-1+4y)[/tex]
b) [tex]-4\sqrt[3]{3}+2\sqrt[3]{3}a^{2}=2\sqrt[3]{3}*( -2+a^{2} )[/tex]
Zadanie 7:
a) 14xy-21x²+7xy²=7x*(2y-3x+y²)
b) -36y²+12x-24y=12*(-3y²+x-2y)
c) [tex]\sqrt[3]{2}xy+ \sqrt[3]{2}-\sqrt[3]{2}z=\sqrt[3]{2}*(xy+1-z)[/tex]
d) [tex]9\sqrt[3]{7}a-27\sqrt[3]{7}b-36\sqrt[3]{7}=9\sqrt[3]{7}*(a-3b-4)[/tex]