Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-4p^2+1\)
2. \(100p^{12}-9s^2\)
3. \(49b^{4}-42b^2y+9y^2\)
4. \(4q^{10}+4q^5+1\)
5. \(49s^2-169\)
6. \(9p^{8}-1\)
7. \(-49x^2+36\)
8. \(9-196x^{8}\)
9. \(100b^{8}+140b^4x+49x^2\)
10. \(s^2-225\)
11. \(144a^2+24a+1\)
12. \(9p^{10}-30p^5s+25s^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-4p^2+1=(1-2p)(1+2p)\)
2. \(100p^{12}-9s^2=(10p^6+3s)(10p^6-3s)\)
3. \(49b^{4}-42b^2y+9y^2=(7b^2-3y)^2\)
4. \(4q^{10}+4q^5+1=(2q^5+1)^2\)
5. \(49s^2-169=(7s+13)(7s-13)\)
6. \(9p^{8}-1=(3p^4+1)(3p^4-1)\)
7. \(-49x^2+36=(6-7x)(6+7x)\)
8. \(9-196x^{8}=(3-14x^4)(3+14x^4)\)
9. \(100b^{8}+140b^4x+49x^2=(10b^4+7x)^2\)
10. \(s^2-225=(s-15)(s+15)\)
11. \(144a^2+24a+1=(12a+1)^2\)
12. \(9p^{10}-30p^5s+25s^2=(3p^5-5s)^2\)