Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2+2p+1\)
2. \(196x^{8}+140x^4+25\)
3. \(b^2-16\)
4. \(x^2-100\)
5. \(-196a^2+1\)
6. \(196x^{8}+420x^4+225\)
7. \(121a^{10}+110a^5+25\)
8. \(144s^2-b^{16}\)
9. \(49x^2-225a^{12}\)
10. \(p^2-81\)
11. \(169x^2-196b^{16}\)
12. \(225a^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2+2p+1=(p+1)^2\)
2. \(196x^{8}+140x^4+25=(14x^4+5)^2\)
3. \(b^2-16=(b-4)(b+4)\)
4. \(x^2-100=(x-10)(x+10)\)
5. \(-196a^2+1=(1-14a)(1+14a)\)
6. \(196x^{8}+420x^4+225=(14x^4+15)^2\)
7. \(121a^{10}+110a^5+25=(11a^5+5)^2\)
8. \(144s^2-b^{16}=(12s-b^8)(12s+b^8)\)
9. \(49x^2-225a^{12}=(7x-15a^6)(7x+15a^6)\)
10. \(p^2-81=(p-9)(p+9)\)
11. \(169x^2-196b^{16}=(13x-14b^8)(13x+14b^8)\)
12. \(225a^2-49=(15a+7)(15a-7)\)