Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2+42y+49\)
2. \(36x^2+132x+121\)
3. \(225b^{8}-420b^4+196\)
4. \(16q^{10}-49\)
5. \(s^2-8s+16\)
6. \(36q^{6}+60q^3+25\)
7. \(49x^2-256b^{10}\)
8. \(36b^2-60b+25\)
9. \(1-64x^{12}\)
10. \(4b^{10}+4b^5y+1y^2\)
11. \(196p^{8}-81q^2\)
12. \(a^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2+42y+49=(3y+7)^2\)
2. \(36x^2+132x+121=(6x+11)^2\)
3. \(225b^{8}-420b^4+196=(15b^4-14)^2\)
4. \(16q^{10}-49=(4q^5+7)(4q^5-7)\)
5. \(s^2-8s+16=(s-4)^2\)
6. \(36q^{6}+60q^3+25=(6q^3+5)^2\)
7. \(49x^2-256b^{10}=(7x-16b^5)(7x+16b^5)\)
8. \(36b^2-60b+25=(6b-5)^2\)
9. \(1-64x^{12}=(1-8x^6)(1+8x^6)\)
10. \(4b^{10}+4b^5y+1y^2=(2b^5+y)^2\)
11. \(196p^{8}-81q^2=(14p^4+9q)(14p^4-9q)\)
12. \(a^2-9=(a+3)(a-3)\)