Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(4-81x^{6}\)
- \(y^2-6y+9\)
- \(25s^{16}-169y^2\)
- \(144q^{8}-264q^4+121\)
- \(s^2-16\)
- \(16q^{6}-56q^3+49\)
- \(9a^{4}+60a^2+100\)
- \(p^2-49\)
- \(x^2-4\)
- \(169-196s^{8}\)
- \(64x^{14}-225\)
- \(36b^{6}-25p^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(4-81x^{6}=(2-9x^3)(2+9x^3)\)
- \(y^2-6y+9=(y-3)^2\)
- \(25s^{16}-169y^2=(5s^8+13y)(5s^8-13y)\)
- \(144q^{8}-264q^4+121=(12q^4-11)^2\)
- \(s^2-16=(s+4)(s-4)\)
- \(16q^{6}-56q^3+49=(4q^3-7)^2\)
- \(9a^{4}+60a^2+100=(3a^2+10)^2\)
- \(p^2-49=(p-7)(p+7)\)
- \(x^2-4=(x+2)(x-2)\)
- \(169-196s^{8}=(13-14s^4)(13+14s^4)\)
- \(64x^{14}-225=(8x^7+15)(8x^7-15)\)
- \(36b^{6}-25p^2=(6b^3+5p)(6b^3-5p)\)