Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25-196x^{14}\)
2. \(36b^{4}+132b^2+121\)
3. \(225a^{6}-210a^3+49\)
4. \(x^2+28x+196\)
5. \(a^2-36\)
6. \(121-4p^{8}\)
7. \(-4p^2+1\)
8. \(81x^{8}-100\)
9. \(4a^{10}-49s^2\)
10. \(49p^2-140p+100\)
11. \(-49s^2+144\)
12. \(4y^2-169s^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25-196x^{14}=(5-14x^7)(5+14x^7)\)
2. \(36b^{4}+132b^2+121=(6b^2+11)^2\)
3. \(225a^{6}-210a^3+49=(15a^3-7)^2\)
4. \(x^2+28x+196=(x+14)^2\)
5. \(a^2-36=(a-6)(a+6)\)
6. \(121-4p^{8}=(11-2p^4)(11+2p^4)\)
7. \(-4p^2+1=(1-2p)(1+2p)\)
8. \(81x^{8}-100=(9x^4+10)(9x^4-10)\)
9. \(4a^{10}-49s^2=(2a^5+7s)(2a^5-7s)\)
10. \(49p^2-140p+100=(7p-10)^2\)
11. \(-49s^2+144=(12-7s)(12+7s)\)
12. \(4y^2-169s^{10}=(2y-13s^5)(2y+13s^5)\)