Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2+66x+9\)
2. \(225p^2-1\)
3. \(4a^{16}-169s^2\)
4. \(x^2+24x+144\)
5. \(q^2-49\)
6. \(-25q^2+64\)
7. \(144p^{12}-169\)
8. \(121q^{4}-144x^2\)
9. \(x^2-1\)
10. \(64s^{4}-49\)
11. \(81a^2-16\)
12. \(100b^{8}-260b^4y+169y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2+66x+9=(11x+3)^2\)
2. \(225p^2-1=(15p+1)(15p-1)\)
3. \(4a^{16}-169s^2=(2a^8+13s)(2a^8-13s)\)
4. \(x^2+24x+144=(x+12)^2\)
5. \(q^2-49=(q-7)(q+7)\)
6. \(-25q^2+64=(8-5q)(8+5q)\)
7. \(144p^{12}-169=(12p^6+13)(12p^6-13)\)
8. \(121q^{4}-144x^2=(11q^2+12x)(11q^2-12x)\)
9. \(x^2-1=(x-1)(x+1)\)
10. \(64s^{4}-49=(8s^2+7)(8s^2-7)\)
11. \(81a^2-16=(9a+4)(9a-4)\)
12. \(100b^{8}-260b^4y+169y^2=(10b^4-13y)^2\)