Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-100\)
2. \(4q^{6}+60q^3+225\)
3. \(25p^2-36b^{6}\)
4. \(81a^2+18a+1\)
5. \(169a^{6}-100x^2\)
6. \(256p^2-288p+81\)
7. \(x^2-4\)
8. \(a^2-18a+81\)
9. \(100s^{4}+260s^2+169\)
10. \(a^2-121\)
11. \(x^2+20x+100\)
12. \(4p^{8}+4p^4+1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-100=(q-10)(q+10)\)
2. \(4q^{6}+60q^3+225=(2q^3+15)^2\)
3. \(25p^2-36b^{6}=(5p-6b^3)(5p+6b^3)\)
4. \(81a^2+18a+1=(9a+1)^2\)
5. \(169a^{6}-100x^2=(13a^3+10x)(13a^3-10x)\)
6. \(256p^2-288p+81=(16p-9)^2\)
7. \(x^2-4=(x+2)(x-2)\)
8. \(a^2-18a+81=(a-9)^2\)
9. \(100s^{4}+260s^2+169=(10s^2+13)^2\)
10. \(a^2-121=(a-11)(a+11)\)
11. \(x^2+20x+100=(x+10)^2\)
12. \(4p^{8}+4p^4+1=(2p^4+1)^2\)