Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-144s^2+49\)
2. \(81-4s^{8}\)
3. \(a^2-64\)
4. \(9q^2-84q+196\)
5. \(196a^2-121\)
6. \(a^2-6a+9\)
7. \(a^2-16\)
8. \(225b^{6}-4s^2\)
9. \(16a^{8}-56a^4y+49y^2\)
10. \(121q^2-36a^{14}\)
11. \(121p^{12}-4x^2\)
12. \(x^2+28x+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-144s^2+49=(7-12s)(7+12s)\)
2. \(81-4s^{8}=(9-2s^4)(9+2s^4)\)
3. \(a^2-64=(a-8)(a+8)\)
4. \(9q^2-84q+196=(3q-14)^2\)
5. \(196a^2-121=(14a+11)(14a-11)\)
6. \(a^2-6a+9=(a-3)^2\)
7. \(a^2-16=(a-4)(a+4)\)
8. \(225b^{6}-4s^2=(15b^3+2s)(15b^3-2s)\)
9. \(16a^{8}-56a^4y+49y^2=(4a^4-7y)^2\)
10. \(121q^2-36a^{14}=(11q-6a^7)(11q+6a^7)\)
11. \(121p^{12}-4x^2=(11p^6+2x)(11p^6-2x)\)
12. \(x^2+28x+196=(x+14)^2\)