Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16q^{10}+120q^5+225\)
2. \(x^2-64\)
3. \(9a^{10}-12a^5+4\)
4. \(196q^{4}+84q^2s+9s^2\)
5. \(36p^{10}+12p^5s+1s^2\)
6. \(b^2-30b+225\)
7. \(81p^{4}-234p^2+169\)
8. \(4b^2-81a^{12}\)
9. \(196s^{10}+28s^5x+1x^2\)
10. \(256s^{6}-480s^3+225\)
11. \(y^2-144\)
12. \(-225b^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16q^{10}+120q^5+225=(4q^5+15)^2\)
2. \(x^2-64=(x-8)(x+8)\)
3. \(9a^{10}-12a^5+4=(3a^5-2)^2\)
4. \(196q^{4}+84q^2s+9s^2=(14q^2+3s)^2\)
5. \(36p^{10}+12p^5s+1s^2=(6p^5+s)^2\)
6. \(b^2-30b+225=(b-15)^2\)
7. \(81p^{4}-234p^2+169=(9p^2-13)^2\)
8. \(4b^2-81a^{12}=(2b-9a^6)(2b+9a^6)\)
9. \(196s^{10}+28s^5x+1x^2=(14s^5+x)^2\)
10. \(256s^{6}-480s^3+225=(16s^3-15)^2\)
11. \(y^2-144=(y+12)(y-12)\)
12. \(-225b^2+121=(11-15b)(11+15b)\)