Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(x^2-81\)
- \(81a^{6}-36a^3+4\)
- \(256p^{4}-9\)
- \(b^2-196\)
- \(81q^{6}-72q^3s+16s^2\)
- \(49-64b^{16}\)
- \(81p^2-36p+4\)
- \(36b^2+12b+1\)
- \(81p^2+36p+4\)
- \(144b^{8}-264b^4+121\)
- \(p^2-1\)
- \(16q^2+8q+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(x^2-81=(x+9)(x-9)\)
- \(81a^{6}-36a^3+4=(9a^3-2)^2\)
- \(256p^{4}-9=(16p^2+3)(16p^2-3)\)
- \(b^2-196=(b-14)(b+14)\)
- \(81q^{6}-72q^3s+16s^2=(9q^3-4s)^2\)
- \(49-64b^{16}=(7-8b^8)(7+8b^8)\)
- \(81p^2-36p+4=(9p-2)^2\)
- \(36b^2+12b+1=(6b+1)^2\)
- \(81p^2+36p+4=(9p+2)^2\)
- \(144b^{8}-264b^4+121=(12b^4-11)^2\)
- \(p^2-1=(p+1)(p-1)\)
- \(16q^2+8q+1=(4q+1)^2\)