Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^2-16q^{12}\)
2. \(-81b^2+169\)
3. \(225s^{10}-64y^2\)
4. \(b^2-4\)
5. \(121p^{6}+308p^3+196\)
6. \(9s^2+66s+121\)
7. \(81a^{16}-4b^2\)
8. \(225p^{6}+240p^3q+64q^2\)
9. \(x^2-121\)
10. \(49b^{10}-126b^5+81\)
11. \(81q^2-72q+16\)
12. \(81-196y^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^2-16q^{12}=(15s-4q^6)(15s+4q^6)\)
2. \(-81b^2+169=(13-9b)(13+9b)\)
3. \(225s^{10}-64y^2=(15s^5+8y)(15s^5-8y)\)
4. \(b^2-4=(b+2)(b-2)\)
5. \(121p^{6}+308p^3+196=(11p^3+14)^2\)
6. \(9s^2+66s+121=(3s+11)^2\)
7. \(81a^{16}-4b^2=(9a^8+2b)(9a^8-2b)\)
8. \(225p^{6}+240p^3q+64q^2=(15p^3+8q)^2\)
9. \(x^2-121=(x-11)(x+11)\)
10. \(49b^{10}-126b^5+81=(7b^5-9)^2\)
11. \(81q^2-72q+16=(9q-4)^2\)
12. \(81-196y^{4}=(9-14y^2)(9+14y^2)\)