A)(5а-в)(5а+в) Б)(x-7)^2-3x(x+5) Разложить на: А)4х+4у-z(x+y); Б)m^3-m^2-9m+9; В)4t^2(t-5)^2

[latex](5a-b)(5a+b)=(5a)^2-(b)^2=5^2a^2-b^2=25a^2-b^2[/latex] [latex](x-7)^2-3x(x+5)=(x^2-2*7*x+7^2)-3x*x-3x*5=[/latex] [latex]=x^2-14x+49-3x^2-15x=x^2-3x^2-14x-15x+49=[/latex] [latex]=-2x^2-29x+49[/latex] a) [latex]4x+4y-z(x+y)=4(x+y)-z(x+y)=(x+y)(4-z)[/latex] b) [latex]m^3-m^2-9m+9=m^2(m-1)-9(m-1)=[/latex] [latex]=(m-1)(m-3)(m+3)[/latex] c) [latex]4t^2-(t-5)^2=(2t)^2-(t-5)^2=[(2t)-(t-5)]*[(2t)+(t-5)]=[/latex] [latex]=[t+5]*[3t-5][/latex]