Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-25\)
2. \(49p^{10}+210p^5+225\)
3. \(-36a^2+169\)
4. \(81p^2+180p+100\)
5. \(9-169b^{8}\)
6. \(196-25s^{14}\)
7. \(-256p^2+225\)
8. \(225s^2+330s+121\)
9. \(-4y^2+25\)
10. \(x^2-22x+121\)
11. \(-9b^2+4\)
12. \(25-64a^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-25=(b-5)(b+5)\)
2. \(49p^{10}+210p^5+225=(7p^5+15)^2\)
3. \(-36a^2+169=(13-6a)(13+6a)\)
4. \(81p^2+180p+100=(9p+10)^2\)
5. \(9-169b^{8}=(3-13b^4)(3+13b^4)\)
6. \(196-25s^{14}=(14-5s^7)(14+5s^7)\)
7. \(-256p^2+225=(15-16p)(15+16p)\)
8. \(225s^2+330s+121=(15s+11)^2\)
9. \(-4y^2+25=(5-2y)(5+2y)\)
10. \(x^2-22x+121=(x-11)^2\)
11. \(-9b^2+4=(2-3b)(2+3b)\)
12. \(25-64a^{12}=(5-8a^6)(5+8a^6)\)