Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-16x+64\)
2. \(s^2-2s+1\)
3. \(64s^{10}+80s^5y+25y^2\)
4. \(196b^2+28b+1\)
5. \(121q^{8}-44q^4+4\)
6. \(256p^{10}+32p^5+1\)
7. \(b^2-8b+16\)
8. \(36x^2-25\)
9. \(p^2-64\)
10. \(81b^{4}+72b^2q+16q^2\)
11. \(256q^2+96q+9\)
12. \(4a^2+4a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-16x+64=(x-8)^2\)
2. \(s^2-2s+1=(s-1)^2\)
3. \(64s^{10}+80s^5y+25y^2=(8s^5+5y)^2\)
4. \(196b^2+28b+1=(14b+1)^2\)
5. \(121q^{8}-44q^4+4=(11q^4-2)^2\)
6. \(256p^{10}+32p^5+1=(16p^5+1)^2\)
7. \(b^2-8b+16=(b-4)^2\)
8. \(36x^2-25=(6x+5)(6x-5)\)
9. \(p^2-64=(p+8)(p-8)\)
10. \(81b^{4}+72b^2q+16q^2=(9b^2+4q)^2\)
11. \(256q^2+96q+9=(16q+3)^2\)
12. \(4a^2+4a+1=(2a+1)^2\)