Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121s^{6}-220s^3x+100x^2\)
2. \(49p^2-84p+36\)
3. \(a^2-225\)
4. \(121x^2-100a^{6}\)
5. \(25x^{10}-40x^5y+16y^2\)
6. \(s^2-64\)
7. \(225a^{4}-196y^2\)
8. \(p^2-9\)
9. \(196a^2+28a+1\)
10. \(25x^{10}-140x^5+196\)
11. \(25b^2-64\)
12. \(y^2+20y+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121s^{6}-220s^3x+100x^2=(11s^3-10x)^2\)
2. \(49p^2-84p+36=(7p-6)^2\)
3. \(a^2-225=(a+15)(a-15)\)
4. \(121x^2-100a^{6}=(11x-10a^3)(11x+10a^3)\)
5. \(25x^{10}-40x^5y+16y^2=(5x^5-4y)^2\)
6. \(s^2-64=(s+8)(s-8)\)
7. \(225a^{4}-196y^2=(15a^2+14y)(15a^2-14y)\)
8. \(p^2-9=(p-3)(p+3)\)
9. \(196a^2+28a+1=(14a+1)^2\)
10. \(25x^{10}-140x^5+196=(5x^5-14)^2\)
11. \(25b^2-64=(5b+8)(5b-8)\)
12. \(y^2+20y+100=(y+10)^2\)