Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-100\)
2. \(144a^{10}+24a^5y+1y^2\)
3. \(169s^{8}+364s^4y+196y^2\)
4. \(64a^2+240a+225\)
5. \(x^2-26x+169\)
6. \(49a^{8}-121\)
7. \(p^2-225\)
8. \(196p^{6}-9\)
9. \(256a^{10}-49\)
10. \(100x^2+60x+9\)
11. \(121b^2+110b+25\)
12. \(64a^2+16a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-100=(b-10)(b+10)\)
2. \(144a^{10}+24a^5y+1y^2=(12a^5+y)^2\)
3. \(169s^{8}+364s^4y+196y^2=(13s^4+14y)^2\)
4. \(64a^2+240a+225=(8a+15)^2\)
5. \(x^2-26x+169=(x-13)^2\)
6. \(49a^{8}-121=(7a^4+11)(7a^4-11)\)
7. \(p^2-225=(p+15)(p-15)\)
8. \(196p^{6}-9=(14p^3+3)(14p^3-3)\)
9. \(256a^{10}-49=(16a^5+7)(16a^5-7)\)
10. \(100x^2+60x+9=(10x+3)^2\)
11. \(121b^2+110b+25=(11b+5)^2\)
12. \(64a^2+16a+1=(8a+1)^2\)