1.
1)
а) 2х+3ху=х(2+3у)
б)3ху-5у=у(3х-5)
2)
а)5аb+10a^2=a(5b+10a)
б)14mn^2-7n=n(14mn-7)
3)
a)a^4+a^3=a(a^3+a^2)
б)2z^5-4z^3=z(2z^4-4z^2)
4)
a)ax^2+3ax=ax(x+3)
2.
1)
a)(x-7)^2=x^2-14x+49
б)(8-b)^2=64-16b+b^2
в)(11-y)^2=111-22y+y^2
2)
а)(2x-3y)^2=4x^2-12xy+9y^2
б)(5а+6b)^2=25a^2+60ab+36b^2
в)(-3c+a)^2=-9c^2-6ca+a^2
3.
1)
а)(3b-1)(3b+1)=9b^2-1
б)(5b+6)(5b-6)=25b^2-36
в)(7-0.5а)(7+0.5а)=49-0.25а^2
2)
а)(4а-b)(b+4a)=16a^2-b^2
б)(x+7)(7-x)=49-x^2
в)(4b+1)(1-4b)=16b^2-1