Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16s^2-225b^{8}\)
2. \(100a^2+140a+49\)
3. \(225-64y^{14}\)
4. \(-81q^2+1\)
5. \(144a^2-1\)
6. \(25a^2+10a+1\)
7. \(25p^2-144b^{4}\)
8. \(64q^{4}+176q^2s+121s^2\)
9. \(4b^{8}-81y^2\)
10. \(16-81p^{16}\)
11. \(196p^{10}+28p^5+1\)
12. \(16p^{14}-9q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16s^2-225b^{8}=(4s-15b^4)(4s+15b^4)\)
2. \(100a^2+140a+49=(10a+7)^2\)
3. \(225-64y^{14}=(15-8y^7)(15+8y^7)\)
4. \(-81q^2+1=(1-9q)(1+9q)\)
5. \(144a^2-1=(12a+1)(12a-1)\)
6. \(25a^2+10a+1=(5a+1)^2\)
7. \(25p^2-144b^{4}=(5p-12b^2)(5p+12b^2)\)
8. \(64q^{4}+176q^2s+121s^2=(8q^2+11s)^2\)
9. \(4b^{8}-81y^2=(2b^4+9y)(2b^4-9y)\)
10. \(16-81p^{16}=(4-9p^8)(4+9p^8)\)
11. \(196p^{10}+28p^5+1=(14p^5+1)^2\)
12. \(16p^{14}-9q^2=(4p^7+3q)(4p^7-3q)\)