Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16y^2-24y+9\)
2. \(49q^{8}+112q^4+64\)
3. \(36y^2-132y+121\)
4. \(s^2+18s+81\)
5. \(4y^{6}+4y^3+1\)
6. \(169y^2-100a^{6}\)
7. \(-16b^2+1\)
8. \(100a^2-169\)
9. \(256s^{6}-96s^3+9\)
10. \(q^2-8q+16\)
11. \(169q^{10}+130q^5+25\)
12. \(121x^2+176x+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16y^2-24y+9=(4y-3)^2\)
2. \(49q^{8}+112q^4+64=(7q^4+8)^2\)
3. \(36y^2-132y+121=(6y-11)^2\)
4. \(s^2+18s+81=(s+9)^2\)
5. \(4y^{6}+4y^3+1=(2y^3+1)^2\)
6. \(169y^2-100a^{6}=(13y-10a^3)(13y+10a^3)\)
7. \(-16b^2+1=(1-4b)(1+4b)\)
8. \(100a^2-169=(10a+13)(10a-13)\)
9. \(256s^{6}-96s^3+9=(16s^3-3)^2\)
10. \(q^2-8q+16=(q-4)^2\)
11. \(169q^{10}+130q^5+25=(13q^5+5)^2\)
12. \(121x^2+176x+64=(11x+8)^2\)