Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^{10}+80a^5q+25q^2\)
2. \(s^2-121\)
3. \(y^2-6y+9\)
4. \(196b^{4}-169\)
5. \(25p^{10}+60p^5+36\)
6. \(81a^{6}+144a^3x+64x^2\)
7. \(-9a^2+16\)
8. \(25q^{6}-16s^2\)
9. \(256x^2-160x+25\)
10. \(b^2-16b+64\)
11. \(256x^{10}-288x^5+81\)
12. \(144p^2-168p+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^{10}+80a^5q+25q^2=(8a^5+5q)^2\)
2. \(s^2-121=(s-11)(s+11)\)
3. \(y^2-6y+9=(y-3)^2\)
4. \(196b^{4}-169=(14b^2+13)(14b^2-13)\)
5. \(25p^{10}+60p^5+36=(5p^5+6)^2\)
6. \(81a^{6}+144a^3x+64x^2=(9a^3+8x)^2\)
7. \(-9a^2+16=(4-3a)(4+3a)\)
8. \(25q^{6}-16s^2=(5q^3+4s)(5q^3-4s)\)
9. \(256x^2-160x+25=(16x-5)^2\)
10. \(b^2-16b+64=(b-8)^2\)
11. \(256x^{10}-288x^5+81=(16x^5-9)^2\)
12. \(144p^2-168p+49=(12p-7)^2\)