Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100q^{4}-260q^2+169\)
2. \(a^2-169\)
3. \(49-64s^{10}\)
4. \(-64a^2+121\)
5. \(y^2-9\)
6. \(256p^2-288p+81\)
7. \(256q^{6}-25s^2\)
8. \(100a^{6}-60a^3b+9b^2\)
9. \(b^2-49\)
10. \(p^2-100\)
11. \(16s^{8}-56s^4+49\)
12. \(a^{4}-9b^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100q^{4}-260q^2+169=(10q^2-13)^2\)
2. \(a^2-169=(a+13)(a-13)\)
3. \(49-64s^{10}=(7-8s^5)(7+8s^5)\)
4. \(-64a^2+121=(11-8a)(11+8a)\)
5. \(y^2-9=(y-3)(y+3)\)
6. \(256p^2-288p+81=(16p-9)^2\)
7. \(256q^{6}-25s^2=(16q^3+5s)(16q^3-5s)\)
8. \(100a^{6}-60a^3b+9b^2=(10a^3-3b)^2\)
9. \(b^2-49=(b-7)(b+7)\)
10. \(p^2-100=(p-10)(p+10)\)
11. \(16s^{8}-56s^4+49=(4s^4-7)^2\)
12. \(a^{4}-9b^2=(a^2+3b)(a^2-3b)\)