Question

1)m³+125n³; 2)xy²-16³; 3)-5x²+30x-45; 4)7xy-42x+14y-84; 5)10 000 - c⁴

Answer 1

1) m³+125n³=(m+5n)(m²-5mn+25n²_
2) xy²-16³=xy²-4096
3) -5x²+30x-45=-5(x²-6x+9)=-5(x-3)²
4) 7xy-42x+14y-84 = 7(xy-6x+2y-12)=7(x(y-6)+2(y-6))=7(y-6)(x+2)
5) $10000-c^{4}=(100-c^{2})*(100+c^{2})=(10-c)(10+c)*(100+c^{2})$