Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-25\)
2. \(x^2-25\)
3. \(196y^{4}+28y^2+1\)
4. \(121y^{10}+264y^5+144\)
5. \(225x^2+120x+16\)
6. \(196q^{4}-308q^2+121\)
7. \(b^2-121\)
8. \(169q^2-121b^{12}\)
9. \(-256x^2+25\)
10. \(q^2-225\)
11. \(225y^2-420y+196\)
12. \(p^2+2p+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-25=(y+5)(y-5)\)
2. \(x^2-25=(x-5)(x+5)\)
3. \(196y^{4}+28y^2+1=(14y^2+1)^2\)
4. \(121y^{10}+264y^5+144=(11y^5+12)^2\)
5. \(225x^2+120x+16=(15x+4)^2\)
6. \(196q^{4}-308q^2+121=(14q^2-11)^2\)
7. \(b^2-121=(b+11)(b-11)\)
8. \(169q^2-121b^{12}=(13q-11b^6)(13q+11b^6)\)
9. \(-256x^2+25=(5-16x)(5+16x)\)
10. \(q^2-225=(q-15)(q+15)\)
11. \(225y^2-420y+196=(15y-14)^2\)
12. \(p^2+2p+1=(p+1)^2\)