Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9q^{8}+66q^4x+121x^2\)
2. \(49s^{6}-224s^3x+256x^2\)
3. \(225x^{6}-60x^3+4\)
4. \(p^2+26p+169\)
5. \(196x^2+252x+81\)
6. \(225q^{8}-210q^4+49\)
7. \(25p^2-20p+4\)
8. \(25p^{4}-70p^2+49\)
9. \(-25x^2+16\)
10. \(196q^{6}-225s^2\)
11. \(36a^{6}+60a^3s+25s^2\)
12. \(b^2-14b+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9q^{8}+66q^4x+121x^2=(3q^4+11x)^2\)
2. \(49s^{6}-224s^3x+256x^2=(7s^3-16x)^2\)
3. \(225x^{6}-60x^3+4=(15x^3-2)^2\)
4. \(p^2+26p+169=(p+13)^2\)
5. \(196x^2+252x+81=(14x+9)^2\)
6. \(225q^{8}-210q^4+49=(15q^4-7)^2\)
7. \(25p^2-20p+4=(5p-2)^2\)
8. \(25p^{4}-70p^2+49=(5p^2-7)^2\)
9. \(-25x^2+16=(4-5x)(4+5x)\)
10. \(196q^{6}-225s^2=(14q^3+15s)(14q^3-15s)\)
11. \(36a^{6}+60a^3s+25s^2=(6a^3+5s)^2\)
12. \(b^2-14b+49=(b-7)^2\)