Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225a^{10}-169\)
2. \(100x^{8}-260x^4+169\)
3. \(q^2-20q+100\)
4. \(q^2+26q+169\)
5. \(49p^2+84p+36\)
6. \(4s^2-25b^{4}\)
7. \(s^2-64\)
8. \(y^2+8y+16\)
9. \(49p^{10}+154p^5y+121y^2\)
10. \(64a^2+48a+9\)
11. \(121q^2-286q+169\)
12. \(-16p^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225a^{10}-169=(15a^5+13)(15a^5-13)\)
2. \(100x^{8}-260x^4+169=(10x^4-13)^2\)
3. \(q^2-20q+100=(q-10)^2\)
4. \(q^2+26q+169=(q+13)^2\)
5. \(49p^2+84p+36=(7p+6)^2\)
6. \(4s^2-25b^{4}=(2s-5b^2)(2s+5b^2)\)
7. \(s^2-64=(s+8)(s-8)\)
8. \(y^2+8y+16=(y+4)^2\)
9. \(49p^{10}+154p^5y+121y^2=(7p^5+11y)^2\)
10. \(64a^2+48a+9=(8a+3)^2\)
11. \(121q^2-286q+169=(11q-13)^2\)
12. \(-16p^2+49=(7-4p)(7+4p)\)