Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-36\)
2. \(-4b^2+169\)
3. \(s^2+4s+4\)
4. \(x^2-121\)
5. \(36q^{4}+60q^2+25\)
6. \(144a^{4}+264a^2+121\)
7. \(16s^{6}-24s^3y+9y^2\)
8. \(9s^2-49b^{10}\)
9. \(81p^{6}-169\)
10. \(196a^{6}+308a^3+121\)
11. \(b^2-24b+144\)
12. \(y^2-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-36=(q-6)(q+6)\)
2. \(-4b^2+169=(13-2b)(13+2b)\)
3. \(s^2+4s+4=(s+2)^2\)
4. \(x^2-121=(x-11)(x+11)\)
5. \(36q^{4}+60q^2+25=(6q^2+5)^2\)
6. \(144a^{4}+264a^2+121=(12a^2+11)^2\)
7. \(16s^{6}-24s^3y+9y^2=(4s^3-3y)^2\)
8. \(9s^2-49b^{10}=(3s-7b^5)(3s+7b^5)\)
9. \(81p^{6}-169=(9p^3+13)(9p^3-13)\)
10. \(196a^{6}+308a^3+121=(14a^3+11)^2\)
11. \(b^2-24b+144=(b-12)^2\)
12. \(y^2-1=(y-1)(y+1)\)