Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-49\)
2. \(-49y^2+100\)
3. \(-100q^2+169\)
4. \(a^{10}-49y^2\)
5. \(q^2+24q+144\)
6. \(4b^{8}+36b^4x+81x^2\)
7. \(256x^2+96x+9\)
8. \(144a^2-169\)
9. \(a^2+16a+64\)
10. \(1-225p^{10}\)
11. \(p^2+10p+25\)
12. \(225x^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-49=(q+7)(q-7)\)
2. \(-49y^2+100=(10-7y)(10+7y)\)
3. \(-100q^2+169=(13-10q)(13+10q)\)
4. \(a^{10}-49y^2=(a^5+7y)(a^5-7y)\)
5. \(q^2+24q+144=(q+12)^2\)
6. \(4b^{8}+36b^4x+81x^2=(2b^4+9x)^2\)
7. \(256x^2+96x+9=(16x+3)^2\)
8. \(144a^2-169=(12a+13)(12a-13)\)
9. \(a^2+16a+64=(a+8)^2\)
10. \(1-225p^{10}=(1-15p^5)(1+15p^5)\)
11. \(p^2+10p+25=(p+5)^2\)
12. \(225x^2-64=(15x+8)(15x-8)\)