Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9p^2-121\)
2. \(b^2-144\)
3. \(36b^{8}-60b^4+25\)
4. \(9y^2-64q^{6}\)
5. \(64q^{8}-80q^4x+25x^2\)
6. \(49p^2-16a^{6}\)
7. \(64a^{10}-240a^5x+225x^2\)
8. \(16b^{4}-24b^2y+9y^2\)
9. \(81x^{10}-234x^5+169\)
10. \(121a^2-16\)
11. \(q^2+26q+169\)
12. \(81-196p^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9p^2-121=(3p+11)(3p-11)\)
2. \(b^2-144=(b-12)(b+12)\)
3. \(36b^{8}-60b^4+25=(6b^4-5)^2\)
4. \(9y^2-64q^{6}=(3y-8q^3)(3y+8q^3)\)
5. \(64q^{8}-80q^4x+25x^2=(8q^4-5x)^2\)
6. \(49p^2-16a^{6}=(7p-4a^3)(7p+4a^3)\)
7. \(64a^{10}-240a^5x+225x^2=(8a^5-15x)^2\)
8. \(16b^{4}-24b^2y+9y^2=(4b^2-3y)^2\)
9. \(81x^{10}-234x^5+169=(9x^5-13)^2\)
10. \(121a^2-16=(11a+4)(11a-4)\)
11. \(q^2+26q+169=(q+13)^2\)
12. \(81-196p^{8}=(9-14p^4)(9+14p^4)\)