Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.
- \(-6y^{4}+6y^{2}\)
- \(-p^{5}-2p^{4}-p^{3}\)
- \(-2x^{6}+28x^{5}-98x^{4}\)
- \(12b^{8}-147b^{2}\)
- \(5s^{6}-320s^{4}\)
- \(3b^{7}+42b^{6}+147b^{5}\)
- \(50b^{6}+120b^{5}+72b^{4}\)
- \(16p^{5}-p^{3}\)
- \(18p^{4}-96p^{3}+128p^{2}\)
- \(5q^{7}-45q^{5}\)
- \(-125x^{4}+245x^{2}\)
- \(-108p^{6}+180p^{5}-75p^{4}\)
Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.
Verbetersleutel
- \(-6y^{4}+6y^{2}=-6y^{2}(y^2-1)=-6y^{2}(y-1)(y+1)\)
- \(-p^{5}-2p^{4}-p^{3}=-p^{3}(p^2+2p+1)=-p^{3}(p+1)^2\)
- \(-2x^{6}+28x^{5}-98x^{4}=-2x^{4}(x^2-14x+49)=-2x^{4}(x-7)^2\)
- \(12b^{8}-147b^{2}=3b^{2}(4b^{6}-49)=3b^{2}(2b^3+7)(2b^3-7)\)
- \(5s^{6}-320s^{4}=5s^{4}(s^2-64)=5s^{4}(s-8)(s+8)\)
- \(3b^{7}+42b^{6}+147b^{5}=3b^{5}(b^2+14b+49)=3b^{5}(b+7)^2\)
- \(50b^{6}+120b^{5}+72b^{4}=2b^{4}(25b^{2}+60b+36)=2b^{4}(5b+6)^2\)
- \(16p^{5}-p^{3}=p^{3}(16p^{2}-1)=p^{3}(4p+1)(4p-1)\)
- \(18p^{4}-96p^{3}+128p^{2}=2p^{2}(9p^{2}-48p+64)=2p^{2}(3p-8)^2\)
- \(5q^{7}-45q^{5}=5q^{5}(q^2-9)=5q^{5}(q-3)(q+3)\)
- \(-125x^{4}+245x^{2}=-5x^{2}(25x^{2}-49)=-5x^{2}(5x+7)(5x-7)\)
- \(-108p^{6}+180p^{5}-75p^{4}=-3p^{4}(36p^{2}-60p+25)=-3p^{4}(6p-5)^2\)