Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-169\)
2. \(y^2-81\)
3. \(225s^{8}+120s^4+16\)
4. \(q^2-9\)
5. \(s^2+12s+36\)
6. \(b^2-24b+144\)
7. \(q^2-25\)
8. \(4y^2+4y+1\)
9. \(a^2-196\)
10. \(196-169x^{12}\)
11. \(121p^{10}-220p^5+100\)
12. \(121p^{4}+22p^2q+1q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-169=(b+13)(b-13)\)
2. \(y^2-81=(y+9)(y-9)\)
3. \(225s^{8}+120s^4+16=(15s^4+4)^2\)
4. \(q^2-9=(q-3)(q+3)\)
5. \(s^2+12s+36=(s+6)^2\)
6. \(b^2-24b+144=(b-12)^2\)
7. \(q^2-25=(q+5)(q-5)\)
8. \(4y^2+4y+1=(2y+1)^2\)
9. \(a^2-196=(a+14)(a-14)\)
10. \(196-169x^{12}=(14-13x^6)(14+13x^6)\)
11. \(121p^{10}-220p^5+100=(11p^5-10)^2\)
12. \(121p^{4}+22p^2q+1q^2=(11p^2+q)^2\)