Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.
- \(-6x^{4}+150x^{2}\)
- \(245s^{11}+350s^{7}+125s^{3}\)
- \(-54x^{4}-72x^{3}-24x^{2}\)
- \(-6b^{5}+384b^{3}\)
- \(-27x^{7}+48x^{5}\)
- \(6p^{7}-54p^{5}\)
- \(a^{4}-2a^{3}+a^{2}\)
- \(-108x^{13}-180x^{9}y-75x^{5}y^2\)
- \(-3a^{6}-54a^{5}-243a^{4}\)
- \(-5s^{6}+60s^{5}-180s^{4}\)
- \(24a^{12}+24a^{7}+6a^{2}\)
- \(-108a^{8}+147a^{2}\)
Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.
Verbetersleutel
- \(-6x^{4}+150x^{2}=-6x^{2}(x^2-25)=-6x^{2}(x+5)(x-5)\)
- \(245s^{11}+350s^{7}+125s^{3}=5s^{3}(49s^{8}+70s^4+25)=5s^{3}(7s^4+5)^2\)
- \(-54x^{4}-72x^{3}-24x^{2}=-6x^{2}(9x^{2}+12x+4)=-6x^{2}(3x+2)^2\)
- \(-6b^{5}+384b^{3}=-6b^{3}(b^2-64)=-6b^{3}(b-8)(b+8)\)
- \(-27x^{7}+48x^{5}=-3x^{5}(9x^{2}-16)=-3x^{5}(3x+4)(3x-4)\)
- \(6p^{7}-54p^{5}=6p^{5}(p^2-9)=6p^{5}(p+3)(p-3)\)
- \(a^{4}-2a^{3}+a^{2}=a^{2}(a^2-2a+1)=a^{2}(a-1)^2\)
- \(-108x^{13}-180x^{9}y-75x^{5}y^2=-3x^{5}(36x^{8}+60x^4y+25y^2)=-3x^{5}(6x^4+5y)^2\)
- \(-3a^{6}-54a^{5}-243a^{4}=-3a^{4}(a^2+18a+81)=-3a^{4}(a+9)^2\)
- \(-5s^{6}+60s^{5}-180s^{4}=-5s^{4}(s^2-12s+36)=-5s^{4}(s-6)^2\)
- \(24a^{12}+24a^{7}+6a^{2}=6a^{2}(4a^{10}+4a^5+1)=6a^{2}(2a^5+1)^2\)
- \(-108a^{8}+147a^{2}=-3a^{2}(36a^{6}-49)=-3a^{2}(6a^3+7)(6a^3-7)\)