Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4a^2+4a+1\)
2. \(b^2-8b+16\)
3. \(225x^2-49s^{6}\)
4. \(36b^{8}-25\)
5. \(121-64b^{8}\)
6. \(1-25q^{16}\)
7. \(16a^{14}-9s^2\)
8. \(x^2-24x+144\)
9. \(256s^2-225\)
10. \(-4s^2+225\)
11. \(16-225s^{4}\)
12. \(100x^{4}-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4a^2+4a+1=(2a+1)^2\)
2. \(b^2-8b+16=(b-4)^2\)
3. \(225x^2-49s^{6}=(15x-7s^3)(15x+7s^3)\)
4. \(36b^{8}-25=(6b^4+5)(6b^4-5)\)
5. \(121-64b^{8}=(11-8b^4)(11+8b^4)\)
6. \(1-25q^{16}=(1-5q^8)(1+5q^8)\)
7. \(16a^{14}-9s^2=(4a^7+3s)(4a^7-3s)\)
8. \(x^2-24x+144=(x-12)^2\)
9. \(256s^2-225=(16s+15)(16s-15)\)
10. \(-4s^2+225=(15-2s)(15+2s)\)
11. \(16-225s^{4}=(4-15s^2)(4+15s^2)\)
12. \(100x^{4}-169=(10x^2+13)(10x^2-13)\)