Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(a^2-196\)
- \(p^2-49\)
- \(144y^{16}-121\)
- \(169s^{14}-144x^2\)
- \(-36p^2+49\)
- \(9a^{4}+48a^2s+64s^2\)
- \(x^2-14x+49\)
- \(q^2-20q+100\)
- \(169q^{8}-78q^4+9\)
- \(49x^{4}+56x^2+16\)
- \(16b^{4}+72b^2+81\)
- \(9y^2-256x^{12}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(a^2-196=(a-14)(a+14)\)
- \(p^2-49=(p-7)(p+7)\)
- \(144y^{16}-121=(12y^8+11)(12y^8-11)\)
- \(169s^{14}-144x^2=(13s^7+12x)(13s^7-12x)\)
- \(-36p^2+49=(7-6p)(7+6p)\)
- \(9a^{4}+48a^2s+64s^2=(3a^2+8s)^2\)
- \(x^2-14x+49=(x-7)^2\)
- \(q^2-20q+100=(q-10)^2\)
- \(169q^{8}-78q^4+9=(13q^4-3)^2\)
- \(49x^{4}+56x^2+16=(7x^2+4)^2\)
- \(16b^{4}+72b^2+81=(4b^2+9)^2\)
- \(9y^2-256x^{12}=(3y-16x^6)(3y+16x^6)\)