Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+6q+9\)
2. \(144s^{16}-49y^2\)
3. \(9q^2-1\)
4. \(144a^2-169\)
5. \(196x^2-169b^{8}\)
6. \(q^2-20q+100\)
7. \(169a^{8}-78a^4y+9y^2\)
8. \(64b^{10}-112b^5q+49q^2\)
9. \(b^2-1\)
10. \(49-4s^{16}\)
11. \(x^2+22x+121\)
12. \(s^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+6q+9=(q+3)^2\)
2. \(144s^{16}-49y^2=(12s^8+7y)(12s^8-7y)\)
3. \(9q^2-1=(3q+1)(3q-1)\)
4. \(144a^2-169=(12a+13)(12a-13)\)
5. \(196x^2-169b^{8}=(14x-13b^4)(14x+13b^4)\)
6. \(q^2-20q+100=(q-10)^2\)
7. \(169a^{8}-78a^4y+9y^2=(13a^4-3y)^2\)
8. \(64b^{10}-112b^5q+49q^2=(8b^5-7q)^2\)
9. \(b^2-1=(b-1)(b+1)\)
10. \(49-4s^{16}=(7-2s^8)(7+2s^8)\)
11. \(x^2+22x+121=(x+11)^2\)
12. \(s^2-36=(s+6)(s-6)\)