Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49-4b^{6}\)
2. \(1-4q^{12}\)
3. \(q^{4}-9s^2\)
4. \(s^2-169\)
5. \(225p^{8}+390p^4q+169q^2\)
6. \(256a^{8}+352a^4+121\)
7. \(25q^2-1\)
8. \(64x^2-q^{4}\)
9. \(y^2-100\)
10. \(16a^{8}+88a^4+121\)
11. \(q^2-30q+225\)
12. \(p^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49-4b^{6}=(7-2b^3)(7+2b^3)\)
2. \(1-4q^{12}=(1-2q^6)(1+2q^6)\)
3. \(q^{4}-9s^2=(q^2+3s)(q^2-3s)\)
4. \(s^2-169=(s+13)(s-13)\)
5. \(225p^{8}+390p^4q+169q^2=(15p^4+13q)^2\)
6. \(256a^{8}+352a^4+121=(16a^4+11)^2\)
7. \(25q^2-1=(5q+1)(5q-1)\)
8. \(64x^2-q^{4}=(8x-q^2)(8x+q^2)\)
9. \(y^2-100=(y+10)(y-10)\)
10. \(16a^{8}+88a^4+121=(4a^4+11)^2\)
11. \(q^2-30q+225=(q-15)^2\)
12. \(p^2-121=(p+11)(p-11)\)