Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81p^2-234p+169\)
2. \(196a^2-81\)
3. \(225-4p^{14}\)
4. \(144a^{6}+168a^3b+49b^2\)
5. \(36x^2-121\)
6. \(121x^2-286x+169\)
7. \(144q^{4}-169x^2\)
8. \(s^2+26s+169\)
9. \(b^2+18b+81\)
10. \(-100p^2+1\)
11. \(9x^2+42x+49\)
12. \(49a^{8}+112a^4+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81p^2-234p+169=(9p-13)^2\)
2. \(196a^2-81=(14a+9)(14a-9)\)
3. \(225-4p^{14}=(15-2p^7)(15+2p^7)\)
4. \(144a^{6}+168a^3b+49b^2=(12a^3+7b)^2\)
5. \(36x^2-121=(6x+11)(6x-11)\)
6. \(121x^2-286x+169=(11x-13)^2\)
7. \(144q^{4}-169x^2=(12q^2+13x)(12q^2-13x)\)
8. \(s^2+26s+169=(s+13)^2\)
9. \(b^2+18b+81=(b+9)^2\)
10. \(-100p^2+1=(1-10p)(1+10p)\)
11. \(9x^2+42x+49=(3x+7)^2\)
12. \(49a^{8}+112a^4+64=(7a^4+8)^2\)