Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9p^2-64\)
2. \(49x^2-28x+4\)
3. \(25q^{6}-70q^3s+49s^2\)
4. \(196x^2-25a^{12}\)
5. \(144b^{10}+120b^5p+25p^2\)
6. \(144b^{8}-168b^4q+49q^2\)
7. \(25x^2-1\)
8. \(-225q^2+196\)
9. \(1-256s^{10}\)
10. \(169-100b^{12}\)
11. \(25a^{6}-49y^2\)
12. \(-144b^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9p^2-64=(3p+8)(3p-8)\)
2. \(49x^2-28x+4=(7x-2)^2\)
3. \(25q^{6}-70q^3s+49s^2=(5q^3-7s)^2\)
4. \(196x^2-25a^{12}=(14x-5a^6)(14x+5a^6)\)
5. \(144b^{10}+120b^5p+25p^2=(12b^5+5p)^2\)
6. \(144b^{8}-168b^4q+49q^2=(12b^4-7q)^2\)
7. \(25x^2-1=(5x+1)(5x-1)\)
8. \(-225q^2+196=(14-15q)(14+15q)\)
9. \(1-256s^{10}=(1-16s^5)(1+16s^5)\)
10. \(169-100b^{12}=(13-10b^6)(13+10b^6)\)
11. \(25a^{6}-49y^2=(5a^3+7y)(5a^3-7y)\)
12. \(-144b^2+169=(13-12b)(13+12b)\)