Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-169\)
2. \(144x^2-25\)
3. \(81y^{10}-36y^5+4\)
4. \(4s^2+4s+1\)
5. \(121a^{6}-4\)
6. \(-64p^2+169\)
7. \(p^2+10p+25\)
8. \(x^2+28x+196\)
9. \(b^2-26b+169\)
10. \(64x^{8}-80x^4+25\)
11. \(36b^{6}+132b^3s+121s^2\)
12. \(49-4a^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-169=(b+13)(b-13)\)
2. \(144x^2-25=(12x+5)(12x-5)\)
3. \(81y^{10}-36y^5+4=(9y^5-2)^2\)
4. \(4s^2+4s+1=(2s+1)^2\)
5. \(121a^{6}-4=(11a^3+2)(11a^3-2)\)
6. \(-64p^2+169=(13-8p)(13+8p)\)
7. \(p^2+10p+25=(p+5)^2\)
8. \(x^2+28x+196=(x+14)^2\)
9. \(b^2-26b+169=(b-13)^2\)
10. \(64x^{8}-80x^4+25=(8x^4-5)^2\)
11. \(36b^{6}+132b^3s+121s^2=(6b^3+11s)^2\)
12. \(49-4a^{10}=(7-2a^5)(7+2a^5)\)