Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121y^2-144\)
2. \(16s^2-9\)
3. \(p^2-49\)
4. \(196p^{6}+84p^3+9\)
5. \(x^2+8x+16\)
6. \(144-121q^{12}\)
7. \(a^2-16\)
8. \(49-36s^{10}\)
9. \(225b^{10}-210b^5s+49s^2\)
10. \(a^2-121\)
11. \(256q^{6}-169\)
12. \(121s^2-144a^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121y^2-144=(11y+12)(11y-12)\)
2. \(16s^2-9=(4s+3)(4s-3)\)
3. \(p^2-49=(p-7)(p+7)\)
4. \(196p^{6}+84p^3+9=(14p^3+3)^2\)
5. \(x^2+8x+16=(x+4)^2\)
6. \(144-121q^{12}=(12-11q^6)(12+11q^6)\)
7. \(a^2-16=(a+4)(a-4)\)
8. \(49-36s^{10}=(7-6s^5)(7+6s^5)\)
9. \(225b^{10}-210b^5s+49s^2=(15b^5-7s)^2\)
10. \(a^2-121=(a+11)(a-11)\)
11. \(256q^{6}-169=(16q^3+13)(16q^3-13)\)
12. \(121s^2-144a^{6}=(11s-12a^3)(11s+12a^3)\)