Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^2-1\)
2. \(144y^{10}+312y^5+169\)
3. \(4a^2+4a+1\)
4. \(169b^{4}-312b^2+144\)
5. \(p^2-100\)
6. \(100x^{16}-169\)
7. \(9q^2-30q+25\)
8. \(4b^{10}+4b^5s+1s^2\)
9. \(q^2-16\)
10. \(25a^{4}+70a^2+49\)
11. \(x^2-9\)
12. \(b^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^2-1=(13q+1)(13q-1)\)
2. \(144y^{10}+312y^5+169=(12y^5+13)^2\)
3. \(4a^2+4a+1=(2a+1)^2\)
4. \(169b^{4}-312b^2+144=(13b^2-12)^2\)
5. \(p^2-100=(p+10)(p-10)\)
6. \(100x^{16}-169=(10x^8+13)(10x^8-13)\)
7. \(9q^2-30q+25=(3q-5)^2\)
8. \(4b^{10}+4b^5s+1s^2=(2b^5+s)^2\)
9. \(q^2-16=(q+4)(q-4)\)
10. \(25a^{4}+70a^2+49=(5a^2+7)^2\)
11. \(x^2-9=(x-3)(x+3)\)
12. \(b^2-169=(b+13)(b-13)\)