Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49p^2-1\)
2. \(25q^2-40q+16\)
3. \(121-144a^{8}\)
4. \(169q^{10}+364q^5+196\)
5. \(p^2-16\)
6. \(169s^2-25\)
7. \(49p^{10}+56p^5y+16y^2\)
8. \(121p^{6}+330p^3x+225x^2\)
9. \(144b^{10}+264b^5+121\)
10. \(49y^2-42y+9\)
11. \(-49x^2+225\)
12. \(16a^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49p^2-1=(7p+1)(7p-1)\)
2. \(25q^2-40q+16=(5q-4)^2\)
3. \(121-144a^{8}=(11-12a^4)(11+12a^4)\)
4. \(169q^{10}+364q^5+196=(13q^5+14)^2\)
5. \(p^2-16=(p+4)(p-4)\)
6. \(169s^2-25=(13s+5)(13s-5)\)
7. \(49p^{10}+56p^5y+16y^2=(7p^5+4y)^2\)
8. \(121p^{6}+330p^3x+225x^2=(11p^3+15x)^2\)
9. \(144b^{10}+264b^5+121=(12b^5+11)^2\)
10. \(49y^2-42y+9=(7y-3)^2\)
11. \(-49x^2+225=(15-7x)(15+7x)\)
12. \(16a^2-81=(4a+9)(4a-9)\)