Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36b^{8}-132b^4+121\)
2. \(169b^{10}+364b^5s+196s^2\)
3. \(169p^{8}+26p^4y+1y^2\)
4. \(169a^{4}-25y^2\)
5. \(a^2-9\)
6. \(4a^{8}+52a^4p+169p^2\)
7. \(100x^{4}+20x^2+1\)
8. \(169b^2-196a^{14}\)
9. \(4q^{10}+4q^5+1\)
10. \(49s^{10}+56s^5+16\)
11. \(x^2-36\)
12. \(b^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36b^{8}-132b^4+121=(6b^4-11)^2\)
2. \(169b^{10}+364b^5s+196s^2=(13b^5+14s)^2\)
3. \(169p^{8}+26p^4y+1y^2=(13p^4+y)^2\)
4. \(169a^{4}-25y^2=(13a^2+5y)(13a^2-5y)\)
5. \(a^2-9=(a-3)(a+3)\)
6. \(4a^{8}+52a^4p+169p^2=(2a^4+13p)^2\)
7. \(100x^{4}+20x^2+1=(10x^2+1)^2\)
8. \(169b^2-196a^{14}=(13b-14a^7)(13b+14a^7)\)
9. \(4q^{10}+4q^5+1=(2q^5+1)^2\)
10. \(49s^{10}+56s^5+16=(7s^5+4)^2\)
11. \(x^2-36=(x+6)(x-6)\)
12. \(b^2-25=(b-5)(b+5)\)