Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256q^2+224q+49\)
2. \(y^2+10y+25\)
3. \(a^2+2a+1\)
4. \(x^2-24x+144\)
5. \(4y^{10}-1\)
6. \(9a^2-12a+4\)
7. \(p^2-20p+100\)
8. \(y^2-169\)
9. \(64q^2+16q+1\)
10. \(4q^{4}+4q^2+1\)
11. \(q^{10}-121s^2\)
12. \(225p^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256q^2+224q+49=(16q+7)^2\)
2. \(y^2+10y+25=(y+5)^2\)
3. \(a^2+2a+1=(a+1)^2\)
4. \(x^2-24x+144=(x-12)^2\)
5. \(4y^{10}-1=(2y^5+1)(2y^5-1)\)
6. \(9a^2-12a+4=(3a-2)^2\)
7. \(p^2-20p+100=(p-10)^2\)
8. \(y^2-169=(y+13)(y-13)\)
9. \(64q^2+16q+1=(8q+1)^2\)
10. \(4q^{4}+4q^2+1=(2q^2+1)^2\)
11. \(q^{10}-121s^2=(q^5+11s)(q^5-11s)\)
12. \(225p^2-49=(15p+7)(15p-7)\)