Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196p^{8}+84p^4y+9y^2\)
2. \(b^2+18b+81\)
3. \(196x^2-25b^{10}\)
4. \(4x^2-25a^{12}\)
5. \(-144y^2+121\)
6. \(100p^2-260p+169\)
7. \(x^2+10x+25\)
8. \(100x^2-81p^{8}\)
9. \(169a^{14}-16p^2\)
10. \(121y^2+264y+144\)
11. \(p^2+26p+169\)
12. \(121-25s^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196p^{8}+84p^4y+9y^2=(14p^4+3y)^2\)
2. \(b^2+18b+81=(b+9)^2\)
3. \(196x^2-25b^{10}=(14x-5b^5)(14x+5b^5)\)
4. \(4x^2-25a^{12}=(2x-5a^6)(2x+5a^6)\)
5. \(-144y^2+121=(11-12y)(11+12y)\)
6. \(100p^2-260p+169=(10p-13)^2\)
7. \(x^2+10x+25=(x+5)^2\)
8. \(100x^2-81p^{8}=(10x-9p^4)(10x+9p^4)\)
9. \(169a^{14}-16p^2=(13a^7+4p)(13a^7-4p)\)
10. \(121y^2+264y+144=(11y+12)^2\)
11. \(p^2+26p+169=(p+13)^2\)
12. \(121-25s^{6}=(11-5s^3)(11+5s^3)\)