Упростите выражение:а)(m-2)²-(m+1)(-3);б)5(d-c)²+10dc;в)x³+(2-x)(x²+2x+4)

[latex]1)(m-2) ^{2} -(m+1)*(-3)=m ^{2} +4-4m-(-3m-3)= \\ =m ^{2} -4m+4+3m+3=m ^{2} +m+7 \\ \\ 2) 5(d-c) ^{2} +10dc=5(d ^{2} +c ^{2} -2dc)+10dc= \\ =5d ^{2} +5c ^{2} -10dc+10dc=5d ^{2} +5c ^{2} \\ \\ 3) x^{3} +(2-x)( x^{2} +2x+4)= x^{ 3} +(2 ^{3} - x^{3} )= x^{3} +8- x^{3} =8[/latex]