Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36x^2+156x+169\)
2. \(4b^2+12b+9\)
3. \(64s^2-49b^{10}\)
4. \(p^2-9\)
5. \(100x^{6}-260x^3+169\)
6. \(49q^{6}+84q^3+36\)
7. \(16b^{4}-56b^2x+49x^2\)
8. \(16q^2-25\)
9. \(a^2-1\)
10. \(144b^{4}+24b^2+1\)
11. \(144x^{8}+264x^4+121\)
12. \(36q^{4}+60q^2y+25y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36x^2+156x+169=(6x+13)^2\)
2. \(4b^2+12b+9=(2b+3)^2\)
3. \(64s^2-49b^{10}=(8s-7b^5)(8s+7b^5)\)
4. \(p^2-9=(p+3)(p-3)\)
5. \(100x^{6}-260x^3+169=(10x^3-13)^2\)
6. \(49q^{6}+84q^3+36=(7q^3+6)^2\)
7. \(16b^{4}-56b^2x+49x^2=(4b^2-7x)^2\)
8. \(16q^2-25=(4q+5)(4q-5)\)
9. \(a^2-1=(a+1)(a-1)\)
10. \(144b^{4}+24b^2+1=(12b^2+1)^2\)
11. \(144x^{8}+264x^4+121=(12x^4+11)^2\)
12. \(36q^{4}+60q^2y+25y^2=(6q^2+5y)^2\)