Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(169q^2-1\)
- \(144y^{10}+312y^5+169\)
- \(4a^2+4a+1\)
- \(169b^{4}-312b^2+144\)
- \(p^2-100\)
- \(100x^{16}-169\)
- \(9q^2-30q+25\)
- \(4b^{10}+4b^5s+1s^2\)
- \(q^2-16\)
- \(25a^{4}+70a^2+49\)
- \(x^2-9\)
- \(b^2-169\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(169q^2-1=(13q+1)(13q-1)\)
- \(144y^{10}+312y^5+169=(12y^5+13)^2\)
- \(4a^2+4a+1=(2a+1)^2\)
- \(169b^{4}-312b^2+144=(13b^2-12)^2\)
- \(p^2-100=(p+10)(p-10)\)
- \(100x^{16}-169=(10x^8+13)(10x^8-13)\)
- \(9q^2-30q+25=(3q-5)^2\)
- \(4b^{10}+4b^5s+1s^2=(2b^5+s)^2\)
- \(q^2-16=(q+4)(q-4)\)
- \(25a^{4}+70a^2+49=(5a^2+7)^2\)
- \(x^2-9=(x-3)(x+3)\)
- \(b^2-169=(b+13)(b-13)\)