Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81-4p^{4}\)
2. \(p^2+14p+49\)
3. \(121b^{8}+286b^4+169\)
4. \(25p^2-144a^{8}\)
5. \(121p^{4}-352p^2+256\)
6. \(a^2-16\)
7. \(100a^{10}+20a^5+1\)
8. \(x^2-25\)
9. \(b^2-121\)
10. \(169-4p^{4}\)
11. \(49-225b^{8}\)
12. \(169-196s^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81-4p^{4}=(9-2p^2)(9+2p^2)\)
2. \(p^2+14p+49=(p+7)^2\)
3. \(121b^{8}+286b^4+169=(11b^4+13)^2\)
4. \(25p^2-144a^{8}=(5p-12a^4)(5p+12a^4)\)
5. \(121p^{4}-352p^2+256=(11p^2-16)^2\)
6. \(a^2-16=(a+4)(a-4)\)
7. \(100a^{10}+20a^5+1=(10a^5+1)^2\)
8. \(x^2-25=(x-5)(x+5)\)
9. \(b^2-121=(b+11)(b-11)\)
10. \(169-4p^{4}=(13-2p^2)(13+2p^2)\)
11. \(49-225b^{8}=(7-15b^4)(7+15b^4)\)
12. \(169-196s^{8}=(13-14s^4)(13+14s^4)\)