Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2-4p^{14}\)
2. \(16y^{10}+72y^5+81\)
3. \(y^2+26y+169\)
4. \(b^2-25\)
5. \(4y^2+12y+9\)
6. \(169x^{6}-416x^3+256\)
7. \(b^2-4\)
8. \(a^2-16\)
9. \(y^2-49\)
10. \(196x^2+308x+121\)
11. \(100x^2+260x+169\)
12. \(36x^2+132x+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2-4p^{14}=(3y-2p^7)(3y+2p^7)\)
2. \(16y^{10}+72y^5+81=(4y^5+9)^2\)
3. \(y^2+26y+169=(y+13)^2\)
4. \(b^2-25=(b-5)(b+5)\)
5. \(4y^2+12y+9=(2y+3)^2\)
6. \(169x^{6}-416x^3+256=(13x^3-16)^2\)
7. \(b^2-4=(b-2)(b+2)\)
8. \(a^2-16=(a-4)(a+4)\)
9. \(y^2-49=(y+7)(y-7)\)
10. \(196x^2+308x+121=(14x+11)^2\)
11. \(100x^2+260x+169=(10x+13)^2\)
12. \(36x^2+132x+121=(6x+11)^2\)