Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^{14}-9s^2\)
2. \(121a^{16}-49y^2\)
3. \(1-169s^{4}\)
4. \(81x^2+36x+4\)
5. \(256a^{10}-96a^5q+9q^2\)
6. \(64s^2+176s+121\)
7. \(q^2-196\)
8. \(49q^2-225a^{10}\)
9. \(64a^{14}-49y^2\)
10. \(49b^{10}-224b^5p+256p^2\)
11. \(a^2-20a+100\)
12. \(q^2-22q+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^{14}-9s^2=(q^7+3s)(q^7-3s)\)
2. \(121a^{16}-49y^2=(11a^8+7y)(11a^8-7y)\)
3. \(1-169s^{4}=(1-13s^2)(1+13s^2)\)
4. \(81x^2+36x+4=(9x+2)^2\)
5. \(256a^{10}-96a^5q+9q^2=(16a^5-3q)^2\)
6. \(64s^2+176s+121=(8s+11)^2\)
7. \(q^2-196=(q-14)(q+14)\)
8. \(49q^2-225a^{10}=(7q-15a^5)(7q+15a^5)\)
9. \(64a^{14}-49y^2=(8a^7+7y)(8a^7-7y)\)
10. \(49b^{10}-224b^5p+256p^2=(7b^5-16p)^2\)
11. \(a^2-20a+100=(a-10)^2\)
12. \(q^2-22q+121=(q-11)^2\)