Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2+8x+16\)
2. \(25y^2-36b^{4}\)
3. \(9p^{14}-1\)
4. \(q^2-1\)
5. \(81p^{4}-36p^2s+4s^2\)
6. \(144q^2+264q+121\)
7. \(64x^{4}+16x^2+1\)
8. \(169q^2-312q+144\)
9. \(49b^2-182b+169\)
10. \(y^2-25\)
11. \(64b^2+16b+1\)
12. \(100y^{4}-260y^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2+8x+16=(x+4)^2\)
2. \(25y^2-36b^{4}=(5y-6b^2)(5y+6b^2)\)
3. \(9p^{14}-1=(3p^7+1)(3p^7-1)\)
4. \(q^2-1=(q-1)(q+1)\)
5. \(81p^{4}-36p^2s+4s^2=(9p^2-2s)^2\)
6. \(144q^2+264q+121=(12q+11)^2\)
7. \(64x^{4}+16x^2+1=(8x^2+1)^2\)
8. \(169q^2-312q+144=(13q-12)^2\)
9. \(49b^2-182b+169=(7b-13)^2\)
10. \(y^2-25=(y-5)(y+5)\)
11. \(64b^2+16b+1=(8b+1)^2\)
12. \(100y^{4}-260y^2+169=(10y^2-13)^2\)