Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4p^{4}+4p^2+1\)
2. \(16a^{4}+104a^2+169\)
3. \(a^2-49\)
4. \(100b^{4}+220b^2+121\)
5. \(q^2+2q+1\)
6. \(256p^2-a^{4}\)
7. \(36p^2-25\)
8. \(49p^2-169a^{16}\)
9. \(81q^2-234q+169\)
10. \(a^2-100\)
11. \(49x^2-16\)
12. \(121s^{8}-176s^4y+64y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4p^{4}+4p^2+1=(2p^2+1)^2\)
2. \(16a^{4}+104a^2+169=(4a^2+13)^2\)
3. \(a^2-49=(a+7)(a-7)\)
4. \(100b^{4}+220b^2+121=(10b^2+11)^2\)
5. \(q^2+2q+1=(q+1)^2\)
6. \(256p^2-a^{4}=(16p-a^2)(16p+a^2)\)
7. \(36p^2-25=(6p+5)(6p-5)\)
8. \(49p^2-169a^{16}=(7p-13a^8)(7p+13a^8)\)
9. \(81q^2-234q+169=(9q-13)^2\)
10. \(a^2-100=(a+10)(a-10)\)
11. \(49x^2-16=(7x+4)(7x-4)\)
12. \(121s^{8}-176s^4y+64y^2=(11s^4-8y)^2\)