Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-36x^2+1\)
2. \(9p^{16}-100\)
3. \(25y^2-70y+49\)
4. \(y^2-169\)
5. \(225y^{4}-1\)
6. \(a^2-26a+169\)
7. \(100x^2-60x+9\)
8. \(y^2-12y+36\)
9. \(196x^{10}+140x^5+25\)
10. \(225a^2-4\)
11. \(121b^{10}-286b^5+169\)
12. \(49b^{8}+14b^4+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-36x^2+1=(1-6x)(1+6x)\)
2. \(9p^{16}-100=(3p^8+10)(3p^8-10)\)
3. \(25y^2-70y+49=(5y-7)^2\)
4. \(y^2-169=(y-13)(y+13)\)
5. \(225y^{4}-1=(15y^2+1)(15y^2-1)\)
6. \(a^2-26a+169=(a-13)^2\)
7. \(100x^2-60x+9=(10x-3)^2\)
8. \(y^2-12y+36=(y-6)^2\)
9. \(196x^{10}+140x^5+25=(14x^5+5)^2\)
10. \(225a^2-4=(15a+2)(15a-2)\)
11. \(121b^{10}-286b^5+169=(11b^5-13)^2\)
12. \(49b^{8}+14b^4+1=(7b^4+1)^2\)