Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225b^{4}+240b^2+64\)
2. \(s^2-144\)
3. \(q^2-100\)
4. \(121s^{16}-64y^2\)
5. \(169s^{4}-64\)
6. \(81x^{6}-25\)
7. \(64p^2+240p+225\)
8. \(9p^{4}-30p^2+25\)
9. \(-4b^2+25\)
10. \(q^2+24q+144\)
11. \(121y^2-154y+49\)
12. \(81x^{8}-72x^4y+16y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225b^{4}+240b^2+64=(15b^2+8)^2\)
2. \(s^2-144=(s+12)(s-12)\)
3. \(q^2-100=(q+10)(q-10)\)
4. \(121s^{16}-64y^2=(11s^8+8y)(11s^8-8y)\)
5. \(169s^{4}-64=(13s^2+8)(13s^2-8)\)
6. \(81x^{6}-25=(9x^3+5)(9x^3-5)\)
7. \(64p^2+240p+225=(8p+15)^2\)
8. \(9p^{4}-30p^2+25=(3p^2-5)^2\)
9. \(-4b^2+25=(5-2b)(5+2b)\)
10. \(q^2+24q+144=(q+12)^2\)
11. \(121y^2-154y+49=(11y-7)^2\)
12. \(81x^{8}-72x^4y+16y^2=(9x^4-4y)^2\)