Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.
- \(-16a^{12}+24a^{8}y-9a^{4}y^2\)
- \(180b^{6}+60b^{5}+5b^{4}\)
- \(25q^{7}+60q^{6}+36q^{5}\)
- \(5y^{6}-320y^{4}\)
- \(24s^{6}-54s^{4}\)
- \(-180b^{7}-300b^{5}-125b^{3}\)
- \(-5y^{6}-70y^{5}-245y^{4}\)
- \(p^{7}+10p^{6}+25p^{5}\)
- \(-3b^{5}-18b^{4}-27b^{3}\)
- \(3s^{6}-48s^{4}\)
- \(-2y^{4}+8y^{3}-8y^{2}\)
- \(25s^{10}+40s^{6}+16s^{2}\)
Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.
Verbetersleutel
- \(-16a^{12}+24a^{8}y-9a^{4}y^2=-a^{4}(16a^{8}-24a^4y+9y^2)=-a^{4}(4a^4-3y)^2\)
- \(180b^{6}+60b^{5}+5b^{4}=5b^{4}(36b^{2}+12b+1)=5b^{4}(6b+1)^2\)
- \(25q^{7}+60q^{6}+36q^{5}=q^{5}(25q^{2}+60q+36)=q^{5}(5q+6)^2\)
- \(5y^{6}-320y^{4}=5y^{4}(y^2-64)=5y^{4}(y-8)(y+8)\)
- \(24s^{6}-54s^{4}=6s^{4}(4s^{2}-9)=6s^{4}(2s+3)(2s-3)\)
- \(-180b^{7}-300b^{5}-125b^{3}=-5b^{3}(36b^{4}+60b^2+25)=-5b^{3}(6b^2+5)^2\)
- \(-5y^{6}-70y^{5}-245y^{4}=-5y^{4}(y^2+14y+49)=-5y^{4}(y+7)^2\)
- \(p^{7}+10p^{6}+25p^{5}=p^{5}(p^2+10p+25)=p^{5}(p+5)^2\)
- \(-3b^{5}-18b^{4}-27b^{3}=-3b^{3}(b^2+6b+9)=-3b^{3}(b+3)^2\)
- \(3s^{6}-48s^{4}=3s^{4}(s^2-16)=3s^{4}(s+4)(s-4)\)
- \(-2y^{4}+8y^{3}-8y^{2}=-2y^{2}(y^2-4y+4)=-2y^{2}(y-2)^2\)
- \(25s^{10}+40s^{6}+16s^{2}=s^{2}(25s^{8}+40s^4+16)=s^{2}(5s^4+4)^2\)