Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^{6}-144\)
2. \(x^2-14x+49\)
3. \(4a^2-225\)
4. \(4q^{10}-121\)
5. \(169a^{4}+260a^2+100\)
6. \(16x^2+88x+121\)
7. \(81a^{14}-169b^2\)
8. \(-196x^2+1\)
9. \(4p^{8}+36p^4q+81q^2\)
10. \(25q^{6}+10q^3s+1s^2\)
11. \(16a^2-169\)
12. \(121s^2-154s+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^{6}-144=(5b^3+12)(5b^3-12)\)
2. \(x^2-14x+49=(x-7)^2\)
3. \(4a^2-225=(2a+15)(2a-15)\)
4. \(4q^{10}-121=(2q^5+11)(2q^5-11)\)
5. \(169a^{4}+260a^2+100=(13a^2+10)^2\)
6. \(16x^2+88x+121=(4x+11)^2\)
7. \(81a^{14}-169b^2=(9a^7+13b)(9a^7-13b)\)
8. \(-196x^2+1=(1-14x)(1+14x)\)
9. \(4p^{8}+36p^4q+81q^2=(2p^4+9q)^2\)
10. \(25q^{6}+10q^3s+1s^2=(5q^3+s)^2\)
11. \(16a^2-169=(4a+13)(4a-13)\)
12. \(121s^2-154s+49=(11s-7)^2\)