1)4а(а+2)-(а+4)^2= 4a(a+2)+(-a2-4a-4a-16) = 4a2+8a+(-a2-4a-4a-16) = 4a2+8a-a2-4a-4a-16 = 3a2 – 16
2)3m(m+2)-(m+3)^2= 3m(m+2)-(m+3)(m+3) = 3m(m+2)+(-m2-3m-3m-9) = 3m2+6m+(-m2-3m-3m-9) == 3m2+6m-m2-3m-3m-9 = 2m2 – 9
3)3(x-1)^2+6x= 3(x-1)(x-1)+6x = (3x2-3x-3x+3)+6x = 3x2-3x-3x+3+6x = 3x2 + 3
4)6d+3(d-1)^2= 6d+3(d-1)(d-1) = 6d+(3d2-3d-3d+3) = 6d+3d2-3d-3d+3 = 3d2 + 3
5)4ab+2(a-b)^2= 4ab+2(a-b)(a-b) = 4ab+(2a2-2ab-2ab+2b2) = 4ab+2a2-2ab-2ab+2b2 = 2a2 + 2b2
1)4а(а+2)-(а+4)^2= 4a(a+2)+(-a2-4a-4a-16) = 4a2+8a+(-a2-4a-4a-16) = 4a2+8a-a2-4a-4a-16 = 3a2 – 16
2)3m(m+2)-(m+3)^2= 3m(m+2)-(m+3)(m+3) = 3m(m+2)+(-m2-3m-3m-9) = 3m2+6m+(-m2-3m-3m-9) == 3m2+6m-m2-3m-3m-9 = 2m2 – 9
3)3(x-1)^2+6x= 3(x-1)(x-1)+6x = (3x2-3x-3x+3)+6x = 3x2-3x-3x+3+6x = 3x2 + 3
4)6d+3(d-1)^2= 6d+3(d-1)(d-1) = 6d+(3d2-3d-3d+3) = 6d+3d2-3d-3d+3 = 3d2 + 3
5)4ab+2(a-b)^2= 4ab+2(a-b)(a-b) = 4ab+(2a2-2ab-2ab+2b2) = 4ab+2a2-2ab-2ab+2b2 = 2a2 + 2b2