Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121-9b^{8}\)
2. \(196x^2-225\)
3. \(16y^2-169x^{14}\)
4. \(q^2+24q+144\)
5. \(36p^2-60p+25\)
6. \(a^2-4\)
7. \(s^2-9\)
8. \(25a^{4}+80a^2b+64b^2\)
9. \(4a^{8}-169\)
10. \(y^2-1\)
11. \(b^2-30b+225\)
12. \(x^2-6x+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121-9b^{8}=(11-3b^4)(11+3b^4)\)
2. \(196x^2-225=(14x+15)(14x-15)\)
3. \(16y^2-169x^{14}=(4y-13x^7)(4y+13x^7)\)
4. \(q^2+24q+144=(q+12)^2\)
5. \(36p^2-60p+25=(6p-5)^2\)
6. \(a^2-4=(a+2)(a-2)\)
7. \(s^2-9=(s+3)(s-3)\)
8. \(25a^{4}+80a^2b+64b^2=(5a^2+8b)^2\)
9. \(4a^{8}-169=(2a^4+13)(2a^4-13)\)
10. \(y^2-1=(y+1)(y-1)\)
11. \(b^2-30b+225=(b-15)^2\)
12. \(x^2-6x+9=(x-3)^2\)