Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121s^2-25\)
2. \(a^2-49\)
3. \(-4a^2+121\)
4. \(16a^{8}-49\)
5. \(b^2-22b+121\)
6. \(4p^{8}+20p^4+25\)
7. \(-36a^2+25\)
8. \(9-196a^{6}\)
9. \(196a^{4}-364a^2p+169p^2\)
10. \(16s^{8}-88s^4+121\)
11. \(4s^2+12s+9\)
12. \(64x^2-112x+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121s^2-25=(11s+5)(11s-5)\)
2. \(a^2-49=(a+7)(a-7)\)
3. \(-4a^2+121=(11-2a)(11+2a)\)
4. \(16a^{8}-49=(4a^4+7)(4a^4-7)\)
5. \(b^2-22b+121=(b-11)^2\)
6. \(4p^{8}+20p^4+25=(2p^4+5)^2\)
7. \(-36a^2+25=(5-6a)(5+6a)\)
8. \(9-196a^{6}=(3-14a^3)(3+14a^3)\)
9. \(196a^{4}-364a^2p+169p^2=(14a^2-13p)^2\)
10. \(16s^{8}-88s^4+121=(4s^4-11)^2\)
11. \(4s^2+12s+9=(2s+3)^2\)
12. \(64x^2-112x+49=(8x-7)^2\)