Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16x^{4}+24x^2+9\)
2. \(25q^2-144a^{10}\)
3. \(121-225s^{4}\)
4. \(225s^2+210s+49\)
5. \(81-64y^{4}\)
6. \(x^2-9\)
7. \(q^2-121\)
8. \(225x^2-210x+49\)
9. \(169-4s^{12}\)
10. \(49s^{6}+56s^3x+16x^2\)
11. \(9s^2+6s+1\)
12. \(81p^{8}-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16x^{4}+24x^2+9=(4x^2+3)^2\)
2. \(25q^2-144a^{10}=(5q-12a^5)(5q+12a^5)\)
3. \(121-225s^{4}=(11-15s^2)(11+15s^2)\)
4. \(225s^2+210s+49=(15s+7)^2\)
5. \(81-64y^{4}=(9-8y^2)(9+8y^2)\)
6. \(x^2-9=(x-3)(x+3)\)
7. \(q^2-121=(q+11)(q-11)\)
8. \(225x^2-210x+49=(15x-7)^2\)
9. \(169-4s^{12}=(13-2s^6)(13+2s^6)\)
10. \(49s^{6}+56s^3x+16x^2=(7s^3+4x)^2\)
11. \(9s^2+6s+1=(3s+1)^2\)
12. \(81p^{8}-16=(9p^4+4)(9p^4-4)\)