Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+10s+25\)
2. \(49q^{14}-169\)
3. \(-25q^2+36\)
4. \(a^2-196\)
5. \(144y^{10}-168y^5+49\)
6. \(225b^{10}-60b^5s+4s^2\)
7. \(y^2-9\)
8. \(x^2-64\)
9. \(y^2-9\)
10. \(36b^{8}-132b^4+121\)
11. \(-169a^2+25\)
12. \(p^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+10s+25=(s+5)^2\)
2. \(49q^{14}-169=(7q^7+13)(7q^7-13)\)
3. \(-25q^2+36=(6-5q)(6+5q)\)
4. \(a^2-196=(a+14)(a-14)\)
5. \(144y^{10}-168y^5+49=(12y^5-7)^2\)
6. \(225b^{10}-60b^5s+4s^2=(15b^5-2s)^2\)
7. \(y^2-9=(y+3)(y-3)\)
8. \(x^2-64=(x-8)(x+8)\)
9. \(y^2-9=(y-3)(y+3)\)
10. \(36b^{8}-132b^4+121=(6b^4-11)^2\)
11. \(-169a^2+25=(5-13a)(5+13a)\)
12. \(p^2-225=(p+15)(p-15)\)