Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-4\)
2. \(a^2+24a+144\)
3. \(225x^{10}+390x^5+169\)
4. \(-16x^2+225\)
5. \(144a^{8}-264a^4q+121q^2\)
6. \(9s^2-66s+121\)
7. \(-16p^2+25\)
8. \(q^2-36\)
9. \(y^2-169\)
10. \(16s^2-56s+49\)
11. \(49-225s^{6}\)
12. \(144a^2+24a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-4=(b-2)(b+2)\)
2. \(a^2+24a+144=(a+12)^2\)
3. \(225x^{10}+390x^5+169=(15x^5+13)^2\)
4. \(-16x^2+225=(15-4x)(15+4x)\)
5. \(144a^{8}-264a^4q+121q^2=(12a^4-11q)^2\)
6. \(9s^2-66s+121=(3s-11)^2\)
7. \(-16p^2+25=(5-4p)(5+4p)\)
8. \(q^2-36=(q-6)(q+6)\)
9. \(y^2-169=(y+13)(y-13)\)
10. \(16s^2-56s+49=(4s-7)^2\)
11. \(49-225s^{6}=(7-15s^3)(7+15s^3)\)
12. \(144a^2+24a+1=(12a+1)^2\)