Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-225\)
2. \(y^2-121\)
3. \(y^2-16\)
4. \(121p^{10}-176p^5+64\)
5. \(-81b^2+1\)
6. \(121-25y^{14}\)
7. \(49p^{10}+14p^5y+1y^2\)
8. \(p^2-49\)
9. \(p^2-20p+100\)
10. \(25x^{4}-140x^2+196\)
11. \(a^2-25\)
12. \(196b^2+28b+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-225=(q-15)(q+15)\)
2. \(y^2-121=(y+11)(y-11)\)
3. \(y^2-16=(y-4)(y+4)\)
4. \(121p^{10}-176p^5+64=(11p^5-8)^2\)
5. \(-81b^2+1=(1-9b)(1+9b)\)
6. \(121-25y^{14}=(11-5y^7)(11+5y^7)\)
7. \(49p^{10}+14p^5y+1y^2=(7p^5+y)^2\)
8. \(p^2-49=(p-7)(p+7)\)
9. \(p^2-20p+100=(p-10)^2\)
10. \(25x^{4}-140x^2+196=(5x^2-14)^2\)
11. \(a^2-25=(a+5)(a-5)\)
12. \(196b^2+28b+1=(14b+1)^2\)