4.
[tex]a) \ 9x^{3}+3x^{2}y^{2} = 3x^{2}(3x+y^{2})\\\\b) \ 3x^{4}y^{2}-6x^{2}y= 3x^{2}(x^{2}y^{2}-2y)\\\\c) \ 6x^{2}{y^{2}-2xy^{2}=2xy^{2}(3x-1)[/tex]
[tex]d) \ 8xy^{5}+12x^{2}y^{4}=2xy^{2}(4y^{3}+6xy^{2})\\\\e) \ 6x^{3}y^{3}-6x^{4}y^{4} + 12xy^{2} = 2xy^{2}(3x^{2}y-3x^{3}y^{2}+6)\\\\f) \ 6x^{4}y^{2}+6x^{3}y^{2}-18x^{4}y = 3x^{2}(2x^{2}y^{2}+2xy^{2}-6x^{2}y)[/tex]
5.
[tex]a) \ 9x^{4}y^{3}-12y^{5} = 3y^{3}(3x^{4}-4y^{2})\\\\b) \ 8a^{2}b^{2}+4a^{3}b^{4} = 4a^{2}b^{2}(2+ab^{2})\\\\c) \ 8p^{3}q^{3}+4p^{4}q^{4}-6p^{2}q^{3} = 2p^{2}q^{3}(4p+2p^{2}q - 3)[/tex]
