Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(25x^2-144b^{10}\)
- \(144x^{12}-121\)
- \(36a^{10}+60a^5x+25x^2\)
- \(49a^2-64\)
- \(81q^2+18q+1\)
- \(25s^2-196\)
- \(225x^2+330x+121\)
- \(16a^{10}-56a^5x+49x^2\)
- \(169q^{6}+26q^3y+1y^2\)
- \(49-4x^{16}\)
- \(81a^{6}+72a^3b+16b^2\)
- \(-16p^2+121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(25x^2-144b^{10}=(5x-12b^5)(5x+12b^5)\)
- \(144x^{12}-121=(12x^6+11)(12x^6-11)\)
- \(36a^{10}+60a^5x+25x^2=(6a^5+5x)^2\)
- \(49a^2-64=(7a+8)(7a-8)\)
- \(81q^2+18q+1=(9q+1)^2\)
- \(25s^2-196=(5s+14)(5s-14)\)
- \(225x^2+330x+121=(15x+11)^2\)
- \(16a^{10}-56a^5x+49x^2=(4a^5-7x)^2\)
- \(169q^{6}+26q^3y+1y^2=(13q^3+y)^2\)
- \(49-4x^{16}=(7-2x^8)(7+2x^8)\)
- \(81a^{6}+72a^3b+16b^2=(9a^3+4b)^2\)
- \(-16p^2+121=(11-4p)(11+4p)\)