Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144y^2+264y+121\)
2. \(b^2+16b+64\)
3. \(121x^2-286x+169\)
4. \(s^2+20s+100\)
5. \(-64p^2+225\)
6. \(196a^{8}-364a^4b+169b^2\)
7. \(a^2-49\)
8. \(s^2-30s+225\)
9. \(256s^{10}-288s^5+81\)
10. \(1-25s^{14}\)
11. \(196b^{4}+140b^2q+25q^2\)
12. \(64a^{4}+80a^2q+25q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144y^2+264y+121=(12y+11)^2\)
2. \(b^2+16b+64=(b+8)^2\)
3. \(121x^2-286x+169=(11x-13)^2\)
4. \(s^2+20s+100=(s+10)^2\)
5. \(-64p^2+225=(15-8p)(15+8p)\)
6. \(196a^{8}-364a^4b+169b^2=(14a^4-13b)^2\)
7. \(a^2-49=(a+7)(a-7)\)
8. \(s^2-30s+225=(s-15)^2\)
9. \(256s^{10}-288s^5+81=(16s^5-9)^2\)
10. \(1-25s^{14}=(1-5s^7)(1+5s^7)\)
11. \(196b^{4}+140b^2q+25q^2=(14b^2+5q)^2\)
12. \(64a^{4}+80a^2q+25q^2=(8a^2+5q)^2\)