Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256p^{10}-160p^5+25\)
2. \(q^2-169\)
3. \(100x^{4}-9\)
4. \(y^2-25\)
5. \(y^2+8y+16\)
6. \(25b^{8}+90b^4+81\)
7. \(y^2-49\)
8. \(a^2-1\)
9. \(-100b^2+49\)
10. \(-100q^2+1\)
11. \(y^2+2y+1\)
12. \(144x^2+264x+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256p^{10}-160p^5+25=(16p^5-5)^2\)
2. \(q^2-169=(q-13)(q+13)\)
3. \(100x^{4}-9=(10x^2+3)(10x^2-3)\)
4. \(y^2-25=(y-5)(y+5)\)
5. \(y^2+8y+16=(y+4)^2\)
6. \(25b^{8}+90b^4+81=(5b^4+9)^2\)
7. \(y^2-49=(y+7)(y-7)\)
8. \(a^2-1=(a+1)(a-1)\)
9. \(-100b^2+49=(7-10b)(7+10b)\)
10. \(-100q^2+1=(1-10q)(1+10q)\)
11. \(y^2+2y+1=(y+1)^2\)
12. \(144x^2+264x+121=(12x+11)^2\)