Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144y^2-49s^{16}\)
2. \(169x^2-36s^{14}\)
3. \(x^2-25\)
4. \(25x^{4}-121\)
5. \(121s^{6}-225x^2\)
6. \(b^2-14b+49\)
7. \(169x^2-144p^{8}\)
8. \(256p^2-160p+25\)
9. \(49b^{8}+140b^4q+100q^2\)
10. \(64a^{10}-240a^5+225\)
11. \(49q^{6}-84q^3y+36y^2\)
12. \(36p^{10}+156p^5s+169s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144y^2-49s^{16}=(12y-7s^8)(12y+7s^8)\)
2. \(169x^2-36s^{14}=(13x-6s^7)(13x+6s^7)\)
3. \(x^2-25=(x+5)(x-5)\)
4. \(25x^{4}-121=(5x^2+11)(5x^2-11)\)
5. \(121s^{6}-225x^2=(11s^3+15x)(11s^3-15x)\)
6. \(b^2-14b+49=(b-7)^2\)
7. \(169x^2-144p^{8}=(13x-12p^4)(13x+12p^4)\)
8. \(256p^2-160p+25=(16p-5)^2\)
9. \(49b^{8}+140b^4q+100q^2=(7b^4+10q)^2\)
10. \(64a^{10}-240a^5+225=(8a^5-15)^2\)
11. \(49q^{6}-84q^3y+36y^2=(7q^3-6y)^2\)
12. \(36p^{10}+156p^5s+169s^2=(6p^5+13s)^2\)