Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144x^{6}+24x^3+1\)
2. \(100s^{8}-121\)
3. \(-169a^2+49\)
4. \(169b^2-4\)
5. \(q^2-25\)
6. \(y^2-4\)
7. \(9b^{10}-48b^5x+64x^2\)
8. \(s^2-26s+169\)
9. \(81s^2-169\)
10. \(225b^{6}+30b^3p+1p^2\)
11. \(36p^2-121\)
12. \(4a^2+4a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144x^{6}+24x^3+1=(12x^3+1)^2\)
2. \(100s^{8}-121=(10s^4+11)(10s^4-11)\)
3. \(-169a^2+49=(7-13a)(7+13a)\)
4. \(169b^2-4=(13b+2)(13b-2)\)
5. \(q^2-25=(q-5)(q+5)\)
6. \(y^2-4=(y-2)(y+2)\)
7. \(9b^{10}-48b^5x+64x^2=(3b^5-8x)^2\)
8. \(s^2-26s+169=(s-13)^2\)
9. \(81s^2-169=(9s+13)(9s-13)\)
10. \(225b^{6}+30b^3p+1p^2=(15b^3+p)^2\)
11. \(36p^2-121=(6p+11)(6p-11)\)
12. \(4a^2+4a+1=(2a+1)^2\)