Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25q^2-70q+49\)
2. \(q^2+28q+196\)
3. \(121y^2-16b^{8}\)
4. \(-144y^2+49\)
5. \(225p^2+60p+4\)
6. \(25s^2-36b^{14}\)
7. \(9a^{4}+78a^2p+169p^2\)
8. \(16x^2-169\)
9. \(1-25s^{14}\)
10. \(-121x^2+144\)
11. \(b^2-14b+49\)
12. \(y^2-20y+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25q^2-70q+49=(5q-7)^2\)
2. \(q^2+28q+196=(q+14)^2\)
3. \(121y^2-16b^{8}=(11y-4b^4)(11y+4b^4)\)
4. \(-144y^2+49=(7-12y)(7+12y)\)
5. \(225p^2+60p+4=(15p+2)^2\)
6. \(25s^2-36b^{14}=(5s-6b^7)(5s+6b^7)\)
7. \(9a^{4}+78a^2p+169p^2=(3a^2+13p)^2\)
8. \(16x^2-169=(4x+13)(4x-13)\)
9. \(1-25s^{14}=(1-5s^7)(1+5s^7)\)
10. \(-121x^2+144=(12-11x)(12+11x)\)
11. \(b^2-14b+49=(b-7)^2\)
12. \(y^2-20y+100=(y-10)^2\)