Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16a^{8}+24a^4p+9p^2\)
2. \(121s^2-220s+100\)
3. \(121a^2-352a+256\)
4. \(144b^{6}-169p^2\)
5. \(64p^{6}-240p^3+225\)
6. \(y^2-169\)
7. \(s^2-22s+121\)
8. \(s^2-20s+100\)
9. \(121x^{8}+132x^4+36\)
10. \(p^2-1\)
11. \(100x^{10}+140x^5+49\)
12. \(-64a^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16a^{8}+24a^4p+9p^2=(4a^4+3p)^2\)
2. \(121s^2-220s+100=(11s-10)^2\)
3. \(121a^2-352a+256=(11a-16)^2\)
4. \(144b^{6}-169p^2=(12b^3+13p)(12b^3-13p)\)
5. \(64p^{6}-240p^3+225=(8p^3-15)^2\)
6. \(y^2-169=(y-13)(y+13)\)
7. \(s^2-22s+121=(s-11)^2\)
8. \(s^2-20s+100=(s-10)^2\)
9. \(121x^{8}+132x^4+36=(11x^4+6)^2\)
10. \(p^2-1=(p-1)(p+1)\)
11. \(100x^{10}+140x^5+49=(10x^5+7)^2\)
12. \(-64a^2+49=(7-8a)(7+8a)\)