Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-4q^2+1\)
2. \(169x^{4}-156x^2+36\)
3. \(36b^{10}-121\)
4. \(a^2-36\)
5. \(25b^2+130b+169\)
6. \(b^{10}-16s^2\)
7. \(b^2-4b+4\)
8. \(s^2+28s+196\)
9. \(-144y^2+121\)
10. \(196p^{10}+28p^5+1\)
11. \(256b^2-169\)
12. \(196y^2+364y+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-4q^2+1=(1-2q)(1+2q)\)
2. \(169x^{4}-156x^2+36=(13x^2-6)^2\)
3. \(36b^{10}-121=(6b^5+11)(6b^5-11)\)
4. \(a^2-36=(a+6)(a-6)\)
5. \(25b^2+130b+169=(5b+13)^2\)
6. \(b^{10}-16s^2=(b^5+4s)(b^5-4s)\)
7. \(b^2-4b+4=(b-2)^2\)
8. \(s^2+28s+196=(s+14)^2\)
9. \(-144y^2+121=(11-12y)(11+12y)\)
10. \(196p^{10}+28p^5+1=(14p^5+1)^2\)
11. \(256b^2-169=(16b+13)(16b-13)\)
12. \(196y^2+364y+169=(14y+13)^2\)