Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25-64b^{10}\)
2. \(16b^2+24b+9\)
3. \(b^2+26b+169\)
4. \(25q^{4}-40q^2+16\)
5. \(q^2-26q+169\)
6. \(144b^{4}-264b^2y+121y^2\)
7. \(q^2-10q+25\)
8. \(81-196p^{16}\)
9. \(121x^{6}-286x^3y+169y^2\)
10. \(225s^2+390s+169\)
11. \(81-16y^{14}\)
12. \(q^2-14q+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25-64b^{10}=(5-8b^5)(5+8b^5)\)
2. \(16b^2+24b+9=(4b+3)^2\)
3. \(b^2+26b+169=(b+13)^2\)
4. \(25q^{4}-40q^2+16=(5q^2-4)^2\)
5. \(q^2-26q+169=(q-13)^2\)
6. \(144b^{4}-264b^2y+121y^2=(12b^2-11y)^2\)
7. \(q^2-10q+25=(q-5)^2\)
8. \(81-196p^{16}=(9-14p^8)(9+14p^8)\)
9. \(121x^{6}-286x^3y+169y^2=(11x^3-13y)^2\)
10. \(225s^2+390s+169=(15s+13)^2\)
11. \(81-16y^{14}=(9-4y^7)(9+4y^7)\)
12. \(q^2-14q+49=(q-7)^2\)