Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121a^2+88a+16\)
2. \(-256y^2+225\)
3. \(100p^2-1\)
4. \(49p^{4}+210p^2x+225x^2\)
5. \(-256q^2+9\)
6. \(4p^{4}+4p^2y+1y^2\)
7. \(100q^{4}+260q^2+169\)
8. \(121b^2+264b+144\)
9. \(25q^{12}-4x^2\)
10. \(b^2+10b+25\)
11. \(s^2-25\)
12. \(49a^{14}-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121a^2+88a+16=(11a+4)^2\)
2. \(-256y^2+225=(15-16y)(15+16y)\)
3. \(100p^2-1=(10p+1)(10p-1)\)
4. \(49p^{4}+210p^2x+225x^2=(7p^2+15x)^2\)
5. \(-256q^2+9=(3-16q)(3+16q)\)
6. \(4p^{4}+4p^2y+1y^2=(2p^2+y)^2\)
7. \(100q^{4}+260q^2+169=(10q^2+13)^2\)
8. \(121b^2+264b+144=(11b+12)^2\)
9. \(25q^{12}-4x^2=(5q^6+2x)(5q^6-2x)\)
10. \(b^2+10b+25=(b+5)^2\)
11. \(s^2-25=(s-5)(s+5)\)
12. \(49a^{14}-100=(7a^7+10)(7a^7-10)\)