Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-49\)
2. \(4a^2+12a+9\)
3. \(225b^{6}-4q^2\)
4. \(100y^2-121\)
5. \(81-16q^{16}\)
6. \(16s^2+120s+225\)
7. \(b^2-25\)
8. \(-81b^2+64\)
9. \(s^2-6s+9\)
10. \(49b^{4}+154b^2+121\)
11. \(x^2-9\)
12. \(x^2+6x+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-49=(p+7)(p-7)\)
2. \(4a^2+12a+9=(2a+3)^2\)
3. \(225b^{6}-4q^2=(15b^3+2q)(15b^3-2q)\)
4. \(100y^2-121=(10y+11)(10y-11)\)
5. \(81-16q^{16}=(9-4q^8)(9+4q^8)\)
6. \(16s^2+120s+225=(4s+15)^2\)
7. \(b^2-25=(b-5)(b+5)\)
8. \(-81b^2+64=(8-9b)(8+9b)\)
9. \(s^2-6s+9=(s-3)^2\)
10. \(49b^{4}+154b^2+121=(7b^2+11)^2\)
11. \(x^2-9=(x-3)(x+3)\)
12. \(x^2+6x+9=(x+3)^2\)