Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-25y^2+81\)
2. \(49y^{4}-126y^2+81\)
3. \(25-196a^{12}\)
4. \(a^2+28a+196\)
5. \(121s^{6}-220s^3y+100y^2\)
6. \(256p^2-49\)
7. \(4p^2-121\)
8. \(4p^{4}-9y^2\)
9. \(x^2-4\)
10. \(169x^2+26x+1\)
11. \(9a^2-48a+64\)
12. \(y^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-25y^2+81=(9-5y)(9+5y)\)
2. \(49y^{4}-126y^2+81=(7y^2-9)^2\)
3. \(25-196a^{12}=(5-14a^6)(5+14a^6)\)
4. \(a^2+28a+196=(a+14)^2\)
5. \(121s^{6}-220s^3y+100y^2=(11s^3-10y)^2\)
6. \(256p^2-49=(16p+7)(16p-7)\)
7. \(4p^2-121=(2p+11)(2p-11)\)
8. \(4p^{4}-9y^2=(2p^2+3y)(2p^2-3y)\)
9. \(x^2-4=(x-2)(x+2)\)
10. \(169x^2+26x+1=(13x+1)^2\)
11. \(9a^2-48a+64=(3a-8)^2\)
12. \(y^2-169=(y+13)(y-13)\)