Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-9x^2+64\)
2. \(196y^{10}+28y^5+1\)
3. \(196q^2-225\)
4. \(100-169q^{10}\)
5. \(169y^2+286y+121\)
6. \(a^2-25\)
7. \(144a^2+312a+169\)
8. \(4q^{4}+4q^2+1\)
9. \(169p^{6}+208p^3s+64s^2\)
10. \(36p^{4}+12p^2y+1y^2\)
11. \(s^2-12s+36\)
12. \(x^2-24x+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-9x^2+64=(8-3x)(8+3x)\)
2. \(196y^{10}+28y^5+1=(14y^5+1)^2\)
3. \(196q^2-225=(14q+15)(14q-15)\)
4. \(100-169q^{10}=(10-13q^5)(10+13q^5)\)
5. \(169y^2+286y+121=(13y+11)^2\)
6. \(a^2-25=(a+5)(a-5)\)
7. \(144a^2+312a+169=(12a+13)^2\)
8. \(4q^{4}+4q^2+1=(2q^2+1)^2\)
9. \(169p^{6}+208p^3s+64s^2=(13p^3+8s)^2\)
10. \(36p^{4}+12p^2y+1y^2=(6p^2+y)^2\)
11. \(s^2-12s+36=(s-6)^2\)
12. \(x^2-24x+144=(x-12)^2\)