Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+12s+36\)
2. \(-121a^2+4\)
3. \(a^2+14a+49\)
4. \(a^{6}-121q^2\)
5. \(144a^2-49\)
6. \(b^2-49\)
7. \(25p^{10}+60p^5q+36q^2\)
8. \(25a^{14}-144\)
9. \(y^2-196\)
10. \(s^2-26s+169\)
11. \(256s^{8}-480s^4+225\)
12. \(64b^{10}-112b^5s+49s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+12s+36=(s+6)^2\)
2. \(-121a^2+4=(2-11a)(2+11a)\)
3. \(a^2+14a+49=(a+7)^2\)
4. \(a^{6}-121q^2=(a^3+11q)(a^3-11q)\)
5. \(144a^2-49=(12a+7)(12a-7)\)
6. \(b^2-49=(b-7)(b+7)\)
7. \(25p^{10}+60p^5q+36q^2=(5p^5+6q)^2\)
8. \(25a^{14}-144=(5a^7+12)(5a^7-12)\)
9. \(y^2-196=(y-14)(y+14)\)
10. \(s^2-26s+169=(s-13)^2\)
11. \(256s^{8}-480s^4+225=(16s^4-15)^2\)
12. \(64b^{10}-112b^5s+49s^2=(8b^5-7s)^2\)