Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144a^{4}+312a^2b+169b^2\)
2. \(s^2+8s+16\)
3. \(225q^2+30q+1\)
4. \(-25s^2+169\)
5. \(196p^{6}+28p^3+1\)
6. \(36a^2+156a+169\)
7. \(256s^{8}+32s^4x+1x^2\)
8. \(a^2-10a+25\)
9. \(16y^2-225p^{14}\)
10. \(s^2-16s+64\)
11. \(16p^2-120p+225\)
12. \(36q^{6}-132q^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144a^{4}+312a^2b+169b^2=(12a^2+13b)^2\)
2. \(s^2+8s+16=(s+4)^2\)
3. \(225q^2+30q+1=(15q+1)^2\)
4. \(-25s^2+169=(13-5s)(13+5s)\)
5. \(196p^{6}+28p^3+1=(14p^3+1)^2\)
6. \(36a^2+156a+169=(6a+13)^2\)
7. \(256s^{8}+32s^4x+1x^2=(16s^4+x)^2\)
8. \(a^2-10a+25=(a-5)^2\)
9. \(16y^2-225p^{14}=(4y-15p^7)(4y+15p^7)\)
10. \(s^2-16s+64=(s-8)^2\)
11. \(16p^2-120p+225=(4p-15)^2\)
12. \(36q^{6}-132q^3+121=(6q^3-11)^2\)