Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(x^2+14x+49\)
- \(256q^{6}+224q^3s+49s^2\)
- \(25-36b^{8}\)
- \(-121q^2+100\)
- \(169-4q^{12}\)
- \(b^2-1\)
- \(256b^{10}+32b^5+1\)
- \(49b^{6}-225\)
- \(225y^2-196b^{4}\)
- \(225q^2-196\)
- \(81s^{6}+72s^3+16\)
- \(256p^{10}-160p^5x+25x^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(x^2+14x+49=(x+7)^2\)
- \(256q^{6}+224q^3s+49s^2=(16q^3+7s)^2\)
- \(25-36b^{8}=(5-6b^4)(5+6b^4)\)
- \(-121q^2+100=(10-11q)(10+11q)\)
- \(169-4q^{12}=(13-2q^6)(13+2q^6)\)
- \(b^2-1=(b-1)(b+1)\)
- \(256b^{10}+32b^5+1=(16b^5+1)^2\)
- \(49b^{6}-225=(7b^3+15)(7b^3-15)\)
- \(225y^2-196b^{4}=(15y-14b^2)(15y+14b^2)\)
- \(225q^2-196=(15q+14)(15q-14)\)
- \(81s^{6}+72s^3+16=(9s^3+4)^2\)
- \(256p^{10}-160p^5x+25x^2=(16p^5-5x)^2\)