Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-196s^2+169\)
2. \(1-36b^{4}\)
3. \(144s^{4}-25\)
4. \(144y^2-49\)
5. \(x^2-144\)
6. \(225q^{10}+120q^5+16\)
7. \(121p^{6}-220p^3+100\)
8. \(196b^2+28b+1\)
9. \(169x^2-144s^{8}\)
10. \(s^2-36\)
11. \(p^2-12p+36\)
12. \(-9q^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-196s^2+169=(13-14s)(13+14s)\)
2. \(1-36b^{4}=(1-6b^2)(1+6b^2)\)
3. \(144s^{4}-25=(12s^2+5)(12s^2-5)\)
4. \(144y^2-49=(12y+7)(12y-7)\)
5. \(x^2-144=(x+12)(x-12)\)
6. \(225q^{10}+120q^5+16=(15q^5+4)^2\)
7. \(121p^{6}-220p^3+100=(11p^3-10)^2\)
8. \(196b^2+28b+1=(14b+1)^2\)
9. \(169x^2-144s^{8}=(13x-12s^4)(13x+12s^4)\)
10. \(s^2-36=(s+6)(s-6)\)
11. \(p^2-12p+36=(p-6)^2\)
12. \(-9q^2+121=(11-3q)(11+3q)\)