Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2+4p+4\)
2. \(a^2+26a+169\)
3. \(9q^2-196p^{8}\)
4. \(64q^{8}-112q^4+49\)
5. \(225x^2-16\)
6. \(36-25x^{10}\)
7. \(196q^{8}+28q^4s+1s^2\)
8. \(196y^2+364y+169\)
9. \(y^2-18y+81\)
10. \(225-64p^{10}\)
11. \(121-144p^{16}\)
12. \(16-81p^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2+4p+4=(p+2)^2\)
2. \(a^2+26a+169=(a+13)^2\)
3. \(9q^2-196p^{8}=(3q-14p^4)(3q+14p^4)\)
4. \(64q^{8}-112q^4+49=(8q^4-7)^2\)
5. \(225x^2-16=(15x+4)(15x-4)\)
6. \(36-25x^{10}=(6-5x^5)(6+5x^5)\)
7. \(196q^{8}+28q^4s+1s^2=(14q^4+s)^2\)
8. \(196y^2+364y+169=(14y+13)^2\)
9. \(y^2-18y+81=(y-9)^2\)
10. \(225-64p^{10}=(15-8p^5)(15+8p^5)\)
11. \(121-144p^{16}=(11-12p^8)(11+12p^8)\)
12. \(16-81p^{4}=(4-9p^2)(4+9p^2)\)