Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-144\)
2. \(25b^{10}-36\)
3. \(q^2+22q+121\)
4. \(49b^{6}+56b^3q+16q^2\)
5. \(100-169y^{4}\)
6. \(25x^{10}-120x^5+144\)
7. \(p^2-22p+121\)
8. \(81p^{4}+252p^2+196\)
9. \(81b^{8}-72b^4+16\)
10. \(b^2-20b+100\)
11. \(y^2-225\)
12. \(25x^2-4b^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-144=(p-12)(p+12)\)
2. \(25b^{10}-36=(5b^5+6)(5b^5-6)\)
3. \(q^2+22q+121=(q+11)^2\)
4. \(49b^{6}+56b^3q+16q^2=(7b^3+4q)^2\)
5. \(100-169y^{4}=(10-13y^2)(10+13y^2)\)
6. \(25x^{10}-120x^5+144=(5x^5-12)^2\)
7. \(p^2-22p+121=(p-11)^2\)
8. \(81p^{4}+252p^2+196=(9p^2+14)^2\)
9. \(81b^{8}-72b^4+16=(9b^4-4)^2\)
10. \(b^2-20b+100=(b-10)^2\)
11. \(y^2-225=(y+15)(y-15)\)
12. \(25x^2-4b^{6}=(5x-2b^3)(5x+2b^3)\)