Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100a^{6}-60a^3+9\)
2. \(81b^{4}-198b^2y+121y^2\)
3. \(y^2+20y+100\)
4. \(p^2-16\)
5. \(36p^{4}+60p^2q+25q^2\)
6. \(16b^{6}+88b^3+121\)
7. \(100a^2-60a+9\)
8. \(s^2+8s+16\)
9. \(100x^2-1\)
10. \(x^2+26x+169\)
11. \(4y^2-225s^{12}\)
12. \(169b^{10}-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100a^{6}-60a^3+9=(10a^3-3)^2\)
2. \(81b^{4}-198b^2y+121y^2=(9b^2-11y)^2\)
3. \(y^2+20y+100=(y+10)^2\)
4. \(p^2-16=(p+4)(p-4)\)
5. \(36p^{4}+60p^2q+25q^2=(6p^2+5q)^2\)
6. \(16b^{6}+88b^3+121=(4b^3+11)^2\)
7. \(100a^2-60a+9=(10a-3)^2\)
8. \(s^2+8s+16=(s+4)^2\)
9. \(100x^2-1=(10x+1)(10x-1)\)
10. \(x^2+26x+169=(x+13)^2\)
11. \(4y^2-225s^{12}=(2y-15s^6)(2y+15s^6)\)
12. \(169b^{10}-49=(13b^5+7)(13b^5-7)\)