Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-9\)
2. \(s^2-16\)
3. \(169p^2+234p+81\)
4. \(49y^2+42y+9\)
5. \(225x^2-420x+196\)
6. \(144b^{14}-121q^2\)
7. \(s^2-121\)
8. \(25x^2-36\)
9. \(4-121s^{10}\)
10. \(225s^{10}-420s^5x+196x^2\)
11. \(a^2-9\)
12. \(36a^{8}-132a^4b+121b^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-9=(y+3)(y-3)\)
2. \(s^2-16=(s+4)(s-4)\)
3. \(169p^2+234p+81=(13p+9)^2\)
4. \(49y^2+42y+9=(7y+3)^2\)
5. \(225x^2-420x+196=(15x-14)^2\)
6. \(144b^{14}-121q^2=(12b^7+11q)(12b^7-11q)\)
7. \(s^2-121=(s-11)(s+11)\)
8. \(25x^2-36=(5x+6)(5x-6)\)
9. \(4-121s^{10}=(2-11s^5)(2+11s^5)\)
10. \(225s^{10}-420s^5x+196x^2=(15s^5-14x)^2\)
11. \(a^2-9=(a-3)(a+3)\)
12. \(36a^{8}-132a^4b+121b^2=(6a^4-11b)^2\)