Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25x^2-144b^{16}\)
2. \(q^2-25\)
3. \(64a^{8}+16a^4x+1x^2\)
4. \(64y^2-240y+225\)
5. \(169b^{4}-9\)
6. \(-81q^2+25\)
7. \(q^2-64\)
8. \(169x^{10}+130x^5y+25y^2\)
9. \(4p^2+36p+81\)
10. \(36p^{4}+132p^2+121\)
11. \(64a^{4}-81x^2\)
12. \(225p^{10}-420p^5x+196x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25x^2-144b^{16}=(5x-12b^8)(5x+12b^8)\)
2. \(q^2-25=(q-5)(q+5)\)
3. \(64a^{8}+16a^4x+1x^2=(8a^4+x)^2\)
4. \(64y^2-240y+225=(8y-15)^2\)
5. \(169b^{4}-9=(13b^2+3)(13b^2-3)\)
6. \(-81q^2+25=(5-9q)(5+9q)\)
7. \(q^2-64=(q-8)(q+8)\)
8. \(169x^{10}+130x^5y+25y^2=(13x^5+5y)^2\)
9. \(4p^2+36p+81=(2p+9)^2\)
10. \(36p^{4}+132p^2+121=(6p^2+11)^2\)
11. \(64a^{4}-81x^2=(8a^2+9x)(8a^2-9x)\)
12. \(225p^{10}-420p^5x+196x^2=(15p^5-14x)^2\)