Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49x^2+14x+1\)
2. \(x^2-121\)
3. \(121b^{4}-25\)
4. \(225b^{10}+330b^5s+121s^2\)
5. \(25q^{8}+60q^4y+36y^2\)
6. \(196x^{4}-252x^2y+81y^2\)
7. \(y^2+8y+16\)
8. \(p^2-1\)
9. \(121-9p^{4}\)
10. \(121s^2-169q^{12}\)
11. \(225q^{14}-64s^2\)
12. \(225b^2+210b+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49x^2+14x+1=(7x+1)^2\)
2. \(x^2-121=(x+11)(x-11)\)
3. \(121b^{4}-25=(11b^2+5)(11b^2-5)\)
4. \(225b^{10}+330b^5s+121s^2=(15b^5+11s)^2\)
5. \(25q^{8}+60q^4y+36y^2=(5q^4+6y)^2\)
6. \(196x^{4}-252x^2y+81y^2=(14x^2-9y)^2\)
7. \(y^2+8y+16=(y+4)^2\)
8. \(p^2-1=(p-1)(p+1)\)
9. \(121-9p^{4}=(11-3p^2)(11+3p^2)\)
10. \(121s^2-169q^{12}=(11s-13q^6)(11s+13q^6)\)
11. \(225q^{14}-64s^2=(15q^7+8s)(15q^7-8s)\)
12. \(225b^2+210b+49=(15b+7)^2\)