Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49y^2-121b^{14}\)
- \(16x^{10}-225y^2\)
- \(49b^{8}-42b^4+9\)
- \(256b^{10}+480b^5y+225y^2\)
- \(100p^{8}-180p^4q+81q^2\)
- \(s^2-16\)
- \(x^2+30x+225\)
- \(100s^{4}+260s^2+169\)
- \(q^2-1\)
- \(a^2+8a+16\)
- \(121b^{8}-9\)
- \(144b^{10}+312b^5+169\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49y^2-121b^{14}=(7y-11b^7)(7y+11b^7)\)
- \(16x^{10}-225y^2=(4x^5+15y)(4x^5-15y)\)
- \(49b^{8}-42b^4+9=(7b^4-3)^2\)
- \(256b^{10}+480b^5y+225y^2=(16b^5+15y)^2\)
- \(100p^{8}-180p^4q+81q^2=(10p^4-9q)^2\)
- \(s^2-16=(s+4)(s-4)\)
- \(x^2+30x+225=(x+15)^2\)
- \(100s^{4}+260s^2+169=(10s^2+13)^2\)
- \(q^2-1=(q-1)(q+1)\)
- \(a^2+8a+16=(a+4)^2\)
- \(121b^{8}-9=(11b^4+3)(11b^4-3)\)
- \(144b^{10}+312b^5+169=(12b^5+13)^2\)