Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^{6}-156q^3y+36y^2\)
2. \(s^2-144\)
3. \(100y^2-49\)
4. \(9x^2-1\)
5. \(36b^{4}-60b^2p+25p^2\)
6. \(144p^2-264p+121\)
7. \(225x^2+210x+49\)
8. \(121y^2-225p^{8}\)
9. \(q^2+20q+100\)
10. \(9p^{10}-66p^5+121\)
11. \(256x^2-121\)
12. \(144y^{8}-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^{6}-156q^3y+36y^2=(13q^3-6y)^2\)
2. \(s^2-144=(s+12)(s-12)\)
3. \(100y^2-49=(10y+7)(10y-7)\)
4. \(9x^2-1=(3x+1)(3x-1)\)
5. \(36b^{4}-60b^2p+25p^2=(6b^2-5p)^2\)
6. \(144p^2-264p+121=(12p-11)^2\)
7. \(225x^2+210x+49=(15x+7)^2\)
8. \(121y^2-225p^{8}=(11y-15p^4)(11y+15p^4)\)
9. \(q^2+20q+100=(q+10)^2\)
10. \(9p^{10}-66p^5+121=(3p^5-11)^2\)
11. \(256x^2-121=(16x+11)(16x-11)\)
12. \(144y^{8}-49=(12y^4+7)(12y^4-7)\)