Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49a^{8}-182a^4s+169s^2\)
2. \(y^2-28y+196\)
3. \(4p^{4}-169q^2\)
4. \(225y^2-64a^{10}\)
5. \(64a^2+208a+169\)
6. \(y^2-121\)
7. \(64b^{6}+16b^3p+1p^2\)
8. \(144b^2-1\)
9. \(225b^{10}+330b^5p+121p^2\)
10. \(s^2+14s+49\)
11. \(256p^2-288p+81\)
12. \(16x^{12}-225y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49a^{8}-182a^4s+169s^2=(7a^4-13s)^2\)
2. \(y^2-28y+196=(y-14)^2\)
3. \(4p^{4}-169q^2=(2p^2+13q)(2p^2-13q)\)
4. \(225y^2-64a^{10}=(15y-8a^5)(15y+8a^5)\)
5. \(64a^2+208a+169=(8a+13)^2\)
6. \(y^2-121=(y+11)(y-11)\)
7. \(64b^{6}+16b^3p+1p^2=(8b^3+p)^2\)
8. \(144b^2-1=(12b+1)(12b-1)\)
9. \(225b^{10}+330b^5p+121p^2=(15b^5+11p)^2\)
10. \(s^2+14s+49=(s+7)^2\)
11. \(256p^2-288p+81=(16p-9)^2\)
12. \(16x^{12}-225y^2=(4x^6+15y)(4x^6-15y)\)