Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16b^{8}+56b^4x+49x^2\)
2. \(p^2-121\)
3. \(-36s^2+49\)
4. \(x^2+18x+81\)
5. \(25b^{8}+60b^4+36\)
6. \(144-121a^{14}\)
7. \(-36p^2+169\)
8. \(81y^2-234y+169\)
9. \(225s^{8}+330s^4+121\)
10. \(4q^{4}-9x^2\)
11. \(4a^{8}+4a^4+1\)
12. \(81a^{8}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16b^{8}+56b^4x+49x^2=(4b^4+7x)^2\)
2. \(p^2-121=(p-11)(p+11)\)
3. \(-36s^2+49=(7-6s)(7+6s)\)
4. \(x^2+18x+81=(x+9)^2\)
5. \(25b^{8}+60b^4+36=(5b^4+6)^2\)
6. \(144-121a^{14}=(12-11a^7)(12+11a^7)\)
7. \(-36p^2+169=(13-6p)(13+6p)\)
8. \(81y^2-234y+169=(9y-13)^2\)
9. \(225s^{8}+330s^4+121=(15s^4+11)^2\)
10. \(4q^{4}-9x^2=(2q^2+3x)(2q^2-3x)\)
11. \(4a^{8}+4a^4+1=(2a^4+1)^2\)
12. \(81a^{8}-1=(9a^4+1)(9a^4-1)\)