Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-196\)
2. \(x^2-49\)
3. \(225b^{8}-210b^4+49\)
4. \(4s^{4}+4s^2+1\)
5. \(s^2-20s+100\)
6. \(-9q^2+100\)
7. \(-16s^2+225\)
8. \(p^2+16p+64\)
9. \(49a^{10}+14a^5b+1b^2\)
10. \(225s^{6}+30s^3x+1x^2\)
11. \(4a^2+36a+81\)
12. \(4b^{12}-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-196=(q-14)(q+14)\)
2. \(x^2-49=(x+7)(x-7)\)
3. \(225b^{8}-210b^4+49=(15b^4-7)^2\)
4. \(4s^{4}+4s^2+1=(2s^2+1)^2\)
5. \(s^2-20s+100=(s-10)^2\)
6. \(-9q^2+100=(10-3q)(10+3q)\)
7. \(-16s^2+225=(15-4s)(15+4s)\)
8. \(p^2+16p+64=(p+8)^2\)
9. \(49a^{10}+14a^5b+1b^2=(7a^5+b)^2\)
10. \(225s^{6}+30s^3x+1x^2=(15s^3+x)^2\)
11. \(4a^2+36a+81=(2a+9)^2\)
12. \(4b^{12}-121=(2b^6+11)(2b^6-11)\)