Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^{10}+60q^5+25\)
2. \(256a^{8}+96a^4b+9b^2\)
3. \(81a^{6}-144a^3s+64s^2\)
4. \(s^2-25\)
5. \(9q^{10}+12q^5+4\)
6. \(9a^2+6a+1\)
7. \(49s^2+70s+25\)
8. \(p^2-1\)
9. \(q^2-100\)
10. \(q^2-169\)
11. \(36p^2-132p+121\)
12. \(256s^{4}+224s^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^{10}+60q^5+25=(6q^5+5)^2\)
2. \(256a^{8}+96a^4b+9b^2=(16a^4+3b)^2\)
3. \(81a^{6}-144a^3s+64s^2=(9a^3-8s)^2\)
4. \(s^2-25=(s-5)(s+5)\)
5. \(9q^{10}+12q^5+4=(3q^5+2)^2\)
6. \(9a^2+6a+1=(3a+1)^2\)
7. \(49s^2+70s+25=(7s+5)^2\)
8. \(p^2-1=(p-1)(p+1)\)
9. \(q^2-100=(q+10)(q-10)\)
10. \(q^2-169=(q-13)(q+13)\)
11. \(36p^2-132p+121=(6p-11)^2\)
12. \(256s^{4}+224s^2+49=(16s^2+7)^2\)