Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81b^2+18b+1\)
2. \(-256a^2+81\)
3. \(b^2-49\)
4. \(b^2+10b+25\)
5. \(-16b^2+121\)
6. \(p^2-16\)
7. \(121y^2-9b^{16}\)
8. \(100q^2+140q+49\)
9. \(25b^{4}-90b^2+81\)
10. \(196p^2+140p+25\)
11. \(25s^2+20s+4\)
12. \(81x^{10}-72x^5+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81b^2+18b+1=(9b+1)^2\)
2. \(-256a^2+81=(9-16a)(9+16a)\)
3. \(b^2-49=(b+7)(b-7)\)
4. \(b^2+10b+25=(b+5)^2\)
5. \(-16b^2+121=(11-4b)(11+4b)\)
6. \(p^2-16=(p-4)(p+4)\)
7. \(121y^2-9b^{16}=(11y-3b^8)(11y+3b^8)\)
8. \(100q^2+140q+49=(10q+7)^2\)
9. \(25b^{4}-90b^2+81=(5b^2-9)^2\)
10. \(196p^2+140p+25=(14p+5)^2\)
11. \(25s^2+20s+4=(5s+2)^2\)
12. \(81x^{10}-72x^5+16=(9x^5-4)^2\)