Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(b^2+4b+4\)
- \(s^2-10s+25\)
- \(4s^{4}+28s^2+49\)
- \(49q^{12}-169x^2\)
- \(256y^2-288y+81\)
- \(4y^2-225p^{6}\)
- \(16b^{4}+8b^2s+1s^2\)
- \(144b^{12}-25\)
- \(a^2-9\)
- \(a^2-4\)
- \(169-225x^{16}\)
- \(-169b^2+144\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(b^2+4b+4=(b+2)^2\)
- \(s^2-10s+25=(s-5)^2\)
- \(4s^{4}+28s^2+49=(2s^2+7)^2\)
- \(49q^{12}-169x^2=(7q^6+13x)(7q^6-13x)\)
- \(256y^2-288y+81=(16y-9)^2\)
- \(4y^2-225p^{6}=(2y-15p^3)(2y+15p^3)\)
- \(16b^{4}+8b^2s+1s^2=(4b^2+s)^2\)
- \(144b^{12}-25=(12b^6+5)(12b^6-5)\)
- \(a^2-9=(a-3)(a+3)\)
- \(a^2-4=(a-2)(a+2)\)
- \(169-225x^{16}=(13-15x^8)(13+15x^8)\)
- \(-169b^2+144=(12-13b)(12+13b)\)