Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+4y+4\)
2. \(81b^2-72b+16\)
3. \(100-9q^{8}\)
4. \(9b^{8}-48b^4p+64p^2\)
5. \(225s^{4}+30s^2+1\)
6. \(q^2-49\)
7. \(81-25y^{10}\)
8. \(x^2-4\)
9. \(25-4s^{16}\)
10. \(64q^{10}-112q^5+49\)
11. \(q^2-169\)
12. \(64q^2-225p^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+4y+4=(y+2)^2\)
2. \(81b^2-72b+16=(9b-4)^2\)
3. \(100-9q^{8}=(10-3q^4)(10+3q^4)\)
4. \(9b^{8}-48b^4p+64p^2=(3b^4-8p)^2\)
5. \(225s^{4}+30s^2+1=(15s^2+1)^2\)
6. \(q^2-49=(q-7)(q+7)\)
7. \(81-25y^{10}=(9-5y^5)(9+5y^5)\)
8. \(x^2-4=(x-2)(x+2)\)
9. \(25-4s^{16}=(5-2s^8)(5+2s^8)\)
10. \(64q^{10}-112q^5+49=(8q^5-7)^2\)
11. \(q^2-169=(q+13)(q-13)\)
12. \(64q^2-225p^{4}=(8q-15p^2)(8q+15p^2)\)