Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-121q^2+196\)
2. \(-49a^2+16\)
3. \(36a^{4}-60a^2+25\)
4. \(169s^2+234s+81\)
5. \(36y^{6}+132y^3+121\)
6. \(256a^{6}+96a^3x+9x^2\)
7. \(x^2-100\)
8. \(25s^2-64\)
9. \(16x^{8}-88x^4+121\)
10. \(64x^2+80x+25\)
11. \(a^2-225\)
12. \(q^2-30q+225\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-121q^2+196=(14-11q)(14+11q)\)
2. \(-49a^2+16=(4-7a)(4+7a)\)
3. \(36a^{4}-60a^2+25=(6a^2-5)^2\)
4. \(169s^2+234s+81=(13s+9)^2\)
5. \(36y^{6}+132y^3+121=(6y^3+11)^2\)
6. \(256a^{6}+96a^3x+9x^2=(16a^3+3x)^2\)
7. \(x^2-100=(x+10)(x-10)\)
8. \(25s^2-64=(5s+8)(5s-8)\)
9. \(16x^{8}-88x^4+121=(4x^4-11)^2\)
10. \(64x^2+80x+25=(8x+5)^2\)
11. \(a^2-225=(a+15)(a-15)\)
12. \(q^2-30q+225=(q-15)^2\)