Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-81a^2+16\)
2. \(25a^{6}+40a^3+16\)
3. \(x^2+22x+121\)
4. \(9y^2-30y+25\)
5. \(121y^2-64q^{10}\)
6. \(121-9a^{4}\)
7. \(q^2+20q+100\)
8. \(4q^{10}+4q^5+1\)
9. \(4a^2-169\)
10. \(196s^{4}+28s^2y+1y^2\)
11. \(49p^{6}-126p^3y+81y^2\)
12. \(16s^{4}-56s^2x+49x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-81a^2+16=(4-9a)(4+9a)\)
2. \(25a^{6}+40a^3+16=(5a^3+4)^2\)
3. \(x^2+22x+121=(x+11)^2\)
4. \(9y^2-30y+25=(3y-5)^2\)
5. \(121y^2-64q^{10}=(11y-8q^5)(11y+8q^5)\)
6. \(121-9a^{4}=(11-3a^2)(11+3a^2)\)
7. \(q^2+20q+100=(q+10)^2\)
8. \(4q^{10}+4q^5+1=(2q^5+1)^2\)
9. \(4a^2-169=(2a+13)(2a-13)\)
10. \(196s^{4}+28s^2y+1y^2=(14s^2+y)^2\)
11. \(49p^{6}-126p^3y+81y^2=(7p^3-9y)^2\)
12. \(16s^{4}-56s^2x+49x^2=(4s^2-7x)^2\)