Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.
- \(32s^{7}-2s^{5}\)
- \(5p^{5}-60p^{4}+180p^{3}\)
- \(-108b^{10}+180b^{6}q-75b^{2}q^2\)
- \(x^{4}-49x^{2}\)
- \(-45p^{11}-60p^{7}-20p^{3}\)
- \(-54a^{21}+150a^{5}\)
- \(27y^{20}-147y^{4}\)
- \(-98x^{12}-112x^{7}-32x^{2}\)
- \(-245q^{11}-70q^{7}y-5q^{3}y^2\)
- \(4a^{6}+4a^{5}+a^{4}\)
- \(64q^{13}+16q^{8}x+q^{3}x^2\)
- \(-192a^{6}-144a^{5}-27a^{4}\)
Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.
Verbetersleutel
- \(32s^{7}-2s^{5}=2s^{5}(16s^{2}-1)=2s^{5}(4s+1)(4s-1)\)
- \(5p^{5}-60p^{4}+180p^{3}=5p^{3}(p^2-12p+36)=5p^{3}(p-6)^2\)
- \(-108b^{10}+180b^{6}q-75b^{2}q^2=-3b^{2}(36b^{8}-60b^4q+25q^2)=-3b^{2}(6b^4-5q)^2\)
- \(x^{4}-49x^{2}=x^{2}(x^2-49)=x^{2}(x+7)(x-7)\)
- \(-45p^{11}-60p^{7}-20p^{3}=-5p^{3}(9p^{8}+12p^4+4)=-5p^{3}(3p^4+2)^2\)
- \(-54a^{21}+150a^{5}=-6a^{5}(9a^{16}-25)=-6a^{5}(3a^8+5)(3a^8-5)\)
- \(27y^{20}-147y^{4}=3y^{4}(9y^{16}-49)=3y^{4}(3y^8+7)(3y^8-7)\)
- \(-98x^{12}-112x^{7}-32x^{2}=-2x^{2}(49x^{10}+56x^5+16)=-2x^{2}(7x^5+4)^2\)
- \(-245q^{11}-70q^{7}y-5q^{3}y^2=-5q^{3}(49q^{8}+14q^4y+y^2)=-5q^{3}(7q^4+y)^2\)
- \(4a^{6}+4a^{5}+a^{4}=a^{4}(4a^{2}+4a+1)=a^{4}(2a+1)^2\)
- \(64q^{13}+16q^{8}x+q^{3}x^2=q^{3}(64q^{10}+16q^5x+x^2)=q^{3}(8q^5+x)^2\)
- \(-192a^{6}-144a^{5}-27a^{4}=-3a^{4}(64a^{2}+48a+9)=-3a^{4}(8a+3)^2\)