Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+10y+25\)
2. \(36b^2+12b+1\)
3. \(256x^2-160x+25\)
4. \(225a^{6}-330a^3p+121p^2\)
5. \(9x^2+6x+1\)
6. \(4p^{4}-225\)
7. \(121x^2+44x+4\)
8. \(225x^{8}+420x^4+196\)
9. \(121q^2-144b^{6}\)
10. \(s^2+22s+121\)
11. \(81p^2-198p+121\)
12. \(x^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+10y+25=(y+5)^2\)
2. \(36b^2+12b+1=(6b+1)^2\)
3. \(256x^2-160x+25=(16x-5)^2\)
4. \(225a^{6}-330a^3p+121p^2=(15a^3-11p)^2\)
5. \(9x^2+6x+1=(3x+1)^2\)
6. \(4p^{4}-225=(2p^2+15)(2p^2-15)\)
7. \(121x^2+44x+4=(11x+2)^2\)
8. \(225x^{8}+420x^4+196=(15x^4+14)^2\)
9. \(121q^2-144b^{6}=(11q-12b^3)(11q+12b^3)\)
10. \(s^2+22s+121=(s+11)^2\)
11. \(81p^2-198p+121=(9p-11)^2\)
12. \(x^2-169=(x-13)(x+13)\)