Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-14y+49\)
2. \(64a^{4}+16a^2p+1p^2\)
3. \(81a^2-196\)
4. \(121q^{6}-176q^3+64\)
5. \(-144p^2+121\)
6. \(121s^2-144q^{10}\)
7. \(225s^{16}-1\)
8. \(x^2+26x+169\)
9. \(16q^{12}-169\)
10. \(s^2+8s+16\)
11. \(q^2-4\)
12. \(64b^{8}+144b^4x+81x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-14y+49=(y-7)^2\)
2. \(64a^{4}+16a^2p+1p^2=(8a^2+p)^2\)
3. \(81a^2-196=(9a+14)(9a-14)\)
4. \(121q^{6}-176q^3+64=(11q^3-8)^2\)
5. \(-144p^2+121=(11-12p)(11+12p)\)
6. \(121s^2-144q^{10}=(11s-12q^5)(11s+12q^5)\)
7. \(225s^{16}-1=(15s^8+1)(15s^8-1)\)
8. \(x^2+26x+169=(x+13)^2\)
9. \(16q^{12}-169=(4q^6+13)(4q^6-13)\)
10. \(s^2+8s+16=(s+4)^2\)
11. \(q^2-4=(q+2)(q-2)\)
12. \(64b^{8}+144b^4x+81x^2=(8b^4+9x)^2\)