Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(1-256q^{12}\)
2. \(16y^2+120y+225\)
3. \(16s^2+40s+25\)
4. \(-121y^2+16\)
5. \(64q^2-112q+49\)
6. \(a^2+2a+1\)
7. \(9q^{12}-1\)
8. \(100x^{4}-49y^2\)
9. \(y^2-169\)
10. \(16-81q^{12}\)
11. \(169q^{6}-78q^3+9\)
12. \(64a^2+112a+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(1-256q^{12}=(1-16q^6)(1+16q^6)\)
2. \(16y^2+120y+225=(4y+15)^2\)
3. \(16s^2+40s+25=(4s+5)^2\)
4. \(-121y^2+16=(4-11y)(4+11y)\)
5. \(64q^2-112q+49=(8q-7)^2\)
6. \(a^2+2a+1=(a+1)^2\)
7. \(9q^{12}-1=(3q^6+1)(3q^6-1)\)
8. \(100x^{4}-49y^2=(10x^2+7y)(10x^2-7y)\)
9. \(y^2-169=(y+13)(y-13)\)
10. \(16-81q^{12}=(4-9q^6)(4+9q^6)\)
11. \(169q^{6}-78q^3+9=(13q^3-3)^2\)
12. \(64a^2+112a+49=(8a+7)^2\)