Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-121\)
2. \(121-144p^{14}\)
3. \(16a^{4}+8a^2x+1x^2\)
4. \(121y^2-9x^{8}\)
5. \(a^2-25\)
6. \(-49y^2+144\)
7. \(225p^{4}+390p^2+169\)
8. \(y^2+28y+196\)
9. \(-225y^2+49\)
10. \(16a^{6}-120a^3s+225s^2\)
11. \(121p^{8}-154p^4x+49x^2\)
12. \(b^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-121=(s-11)(s+11)\)
2. \(121-144p^{14}=(11-12p^7)(11+12p^7)\)
3. \(16a^{4}+8a^2x+1x^2=(4a^2+x)^2\)
4. \(121y^2-9x^{8}=(11y-3x^4)(11y+3x^4)\)
5. \(a^2-25=(a+5)(a-5)\)
6. \(-49y^2+144=(12-7y)(12+7y)\)
7. \(225p^{4}+390p^2+169=(15p^2+13)^2\)
8. \(y^2+28y+196=(y+14)^2\)
9. \(-225y^2+49=(7-15y)(7+15y)\)
10. \(16a^{6}-120a^3s+225s^2=(4a^3-15s)^2\)
11. \(121p^{8}-154p^4x+49x^2=(11p^4-7x)^2\)
12. \(b^2-64=(b-8)(b+8)\)