Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-144s^2+121\)
2. \(-144y^2+1\)
3. \(p^2-169\)
4. \(4b^{4}+4b^2p+1p^2\)
5. \(a^2-9\)
6. \(16x^2-169q^{4}\)
7. \(p^2-9\)
8. \(169s^{8}-25\)
9. \(4a^2+12a+9\)
10. \(9x^2-169p^{4}\)
11. \(49s^{4}-42s^2x+9x^2\)
12. \(225p^{10}+420p^5q+196q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-144s^2+121=(11-12s)(11+12s)\)
2. \(-144y^2+1=(1-12y)(1+12y)\)
3. \(p^2-169=(p+13)(p-13)\)
4. \(4b^{4}+4b^2p+1p^2=(2b^2+p)^2\)
5. \(a^2-9=(a-3)(a+3)\)
6. \(16x^2-169q^{4}=(4x-13q^2)(4x+13q^2)\)
7. \(p^2-9=(p+3)(p-3)\)
8. \(169s^{8}-25=(13s^4+5)(13s^4-5)\)
9. \(4a^2+12a+9=(2a+3)^2\)
10. \(9x^2-169p^{4}=(3x-13p^2)(3x+13p^2)\)
11. \(49s^{4}-42s^2x+9x^2=(7s^2-3x)^2\)
12. \(225p^{10}+420p^5q+196q^2=(15p^5+14q)^2\)