Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-16\)
2. \(9b^{6}+78b^3q+169q^2\)
3. \(-256x^2+81\)
4. \(100q^2-1\)
5. \(81s^{10}+198s^5y+121y^2\)
6. \(49b^{6}-224b^3s+256s^2\)
7. \(49p^{10}-121x^2\)
8. \(4q^2-225a^{16}\)
9. \(49p^{10}+112p^5q+64q^2\)
10. \(s^2-16s+64\)
11. \(225s^{8}-49x^2\)
12. \(121p^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-16=(q+4)(q-4)\)
2. \(9b^{6}+78b^3q+169q^2=(3b^3+13q)^2\)
3. \(-256x^2+81=(9-16x)(9+16x)\)
4. \(100q^2-1=(10q+1)(10q-1)\)
5. \(81s^{10}+198s^5y+121y^2=(9s^5+11y)^2\)
6. \(49b^{6}-224b^3s+256s^2=(7b^3-16s)^2\)
7. \(49p^{10}-121x^2=(7p^5+11x)(7p^5-11x)\)
8. \(4q^2-225a^{16}=(2q-15a^8)(2q+15a^8)\)
9. \(49p^{10}+112p^5q+64q^2=(7p^5+8q)^2\)
10. \(s^2-16s+64=(s-8)^2\)
11. \(225s^{8}-49x^2=(15s^4+7x)(15s^4-7x)\)
12. \(121p^2-169=(11p+13)(11p-13)\)