Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-14q+49\)
2. \(4x^{8}+4x^4+1\)
3. \(a^2+12a+36\)
4. \(64p^{4}+16p^2s+1s^2\)
5. \(256p^{8}-160p^4x+25x^2\)
6. \(16y^{6}+88y^3+121\)
7. \(9x^{4}+48x^2+64\)
8. \(x^2-16\)
9. \(121x^2-352x+256\)
10. \(y^2-144\)
11. \(100x^2-49\)
12. \(256s^{6}+416s^3y+169y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-14q+49=(q-7)^2\)
2. \(4x^{8}+4x^4+1=(2x^4+1)^2\)
3. \(a^2+12a+36=(a+6)^2\)
4. \(64p^{4}+16p^2s+1s^2=(8p^2+s)^2\)
5. \(256p^{8}-160p^4x+25x^2=(16p^4-5x)^2\)
6. \(16y^{6}+88y^3+121=(4y^3+11)^2\)
7. \(9x^{4}+48x^2+64=(3x^2+8)^2\)
8. \(x^2-16=(x-4)(x+4)\)
9. \(121x^2-352x+256=(11x-16)^2\)
10. \(y^2-144=(y+12)(y-12)\)
11. \(100x^2-49=(10x+7)(10x-7)\)
12. \(256s^{6}+416s^3y+169y^2=(16s^3+13y)^2\)