1) 2a^2 - 2b^2 + a- b = 2(a^2-b^2)+a-b = 2(a-b)*(a+b)+ a-b = (a-b)*(2(a+b)+1) = (a-b)*(2a+2b+1)
2)7a^2-7b^2 = 7(a^2-b^2) = 7(a-b)(a+b)
3)4m^2-9n^2+2m+3n = (2m-3n)(2m+n)+2m+3n = (2m+3n)(2m-3n+1)
4)4x+4x^2+2x+2 = 2(2x+2x^2+x+1) = 2(3x+2x^2+1) = 2(2x^2+2x+x+1) = 2(2x(x+1)x+1) = 2(x+1)(2x+1)
5)x^2(x+2)+10x*(x+2)+25(x+2) = (x+2)(x^2+10x+25) = (x+2)(x+5)^2
ответ на фото................
1) 2a^2 - 2b^2 + a- b = 2(a^2-b^2)+a-b = 2(a-b)*(a+b)+ a-b = (a-b)*(2(a+b)+1) = (a-b)*(2a+2b+1)
2)7a^2-7b^2 = 7(a^2-b^2) = 7(a-b)(a+b)
3)4m^2-9n^2+2m+3n = (2m-3n)(2m+n)+2m+3n = (2m+3n)(2m-3n+1)
4)4x+4x^2+2x+2 = 2(2x+2x^2+x+1) = 2(3x+2x^2+1) = 2(2x^2+2x+x+1) = 2(2x(x+1)x+1) = 2(x+1)(2x+1)
5)x^2(x+2)+10x*(x+2)+25(x+2) = (x+2)(x^2+10x+25) = (x+2)(x+5)^2
ответ на фото................