Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196a^{10}-364a^5x+169x^2\)
2. \(196s^2-9\)
3. \(256b^{10}-288b^5q+81q^2\)
4. \(a^2-196\)
5. \(b^2+14b+49\)
6. \(9a^{6}-84a^3x+196x^2\)
7. \(4b^{10}-49s^2\)
8. \(4a^{6}+60a^3x+225x^2\)
9. \(q^2-24q+144\)
10. \(100a^{4}+60a^2p+9p^2\)
11. \(a^2-4\)
12. \(49-9x^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196a^{10}-364a^5x+169x^2=(14a^5-13x)^2\)
2. \(196s^2-9=(14s+3)(14s-3)\)
3. \(256b^{10}-288b^5q+81q^2=(16b^5-9q)^2\)
4. \(a^2-196=(a+14)(a-14)\)
5. \(b^2+14b+49=(b+7)^2\)
6. \(9a^{6}-84a^3x+196x^2=(3a^3-14x)^2\)
7. \(4b^{10}-49s^2=(2b^5+7s)(2b^5-7s)\)
8. \(4a^{6}+60a^3x+225x^2=(2a^3+15x)^2\)
9. \(q^2-24q+144=(q-12)^2\)
10. \(100a^{4}+60a^2p+9p^2=(10a^2+3p)^2\)
11. \(a^2-4=(a+2)(a-2)\)
12. \(49-9x^{12}=(7-3x^6)(7+3x^6)\)