Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-144\)
2. \(q^2-81\)
3. \(100s^{8}-9x^2\)
4. \(p^2+20p+100\)
5. \(121a^2-286a+169\)
6. \(q^2+10q+25\)
7. \(100q^{10}+140q^5s+49s^2\)
8. \(p^2-81\)
9. \(-64a^2+1\)
10. \(1-49s^{6}\)
11. \(225a^{10}+120a^5b+16b^2\)
12. \(16-169x^{16}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-144=(b+12)(b-12)\)
2. \(q^2-81=(q+9)(q-9)\)
3. \(100s^{8}-9x^2=(10s^4+3x)(10s^4-3x)\)
4. \(p^2+20p+100=(p+10)^2\)
5. \(121a^2-286a+169=(11a-13)^2\)
6. \(q^2+10q+25=(q+5)^2\)
7. \(100q^{10}+140q^5s+49s^2=(10q^5+7s)^2\)
8. \(p^2-81=(p-9)(p+9)\)
9. \(-64a^2+1=(1-8a)(1+8a)\)
10. \(1-49s^{6}=(1-7s^3)(1+7s^3)\)
11. \(225a^{10}+120a^5b+16b^2=(15a^5+4b)^2\)
12. \(16-169x^{16}=(4-13x^8)(4+13x^8)\)