3) 45+30х+5х²=5(9+6х+х²)=5(3+х)²
5) -2m²+4m-2=-(2m²-4m+2)=-2(m²-2m+1)=-2(m-1)²
6) 6x²+24y²+24xy=6(x²+4y²+4xy)=6(x+2y)²
7) -24m+18m²+8=2+6-24m+18m²=2*1+2(3-12m+9m²)=2(3-12m+9m²+1)=
2(4-12m+9m²)=2(2-3m)²
8) 36+24x+4x²=(6+2x)²
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Answers & Comments
3) 45+30х+5х²=5(9+6х+х²)=5(3+х)²
5) -2m²+4m-2=-(2m²-4m+2)=-2(m²-2m+1)=-2(m-1)²
6) 6x²+24y²+24xy=6(x²+4y²+4xy)=6(x+2y)²
7) -24m+18m²+8=2+6-24m+18m²=2*1+2(3-12m+9m²)=2(3-12m+9m²+1)=
2(4-12m+9m²)=2(2-3m)²
8) 36+24x+4x²=(6+2x)²