Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^2-b^{14}\)
2. \(9q^2-256p^{6}\)
3. \(x^2-9\)
4. \(4p^{10}+4p^5y+1y^2\)
5. \(144a^2-264a+121\)
6. \(-64p^2+169\)
7. \(-4b^2+1\)
8. \(256a^{10}-480a^5q+225q^2\)
9. \(a^2-30a+225\)
10. \(p^2-121\)
11. \(121y^{4}-1\)
12. \(16s^{10}+8s^5x+1x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^2-b^{14}=(6q-b^7)(6q+b^7)\)
2. \(9q^2-256p^{6}=(3q-16p^3)(3q+16p^3)\)
3. \(x^2-9=(x+3)(x-3)\)
4. \(4p^{10}+4p^5y+1y^2=(2p^5+y)^2\)
5. \(144a^2-264a+121=(12a-11)^2\)
6. \(-64p^2+169=(13-8p)(13+8p)\)
7. \(-4b^2+1=(1-2b)(1+2b)\)
8. \(256a^{10}-480a^5q+225q^2=(16a^5-15q)^2\)
9. \(a^2-30a+225=(a-15)^2\)
10. \(p^2-121=(p-11)(p+11)\)
11. \(121y^{4}-1=(11y^2+1)(11y^2-1)\)
12. \(16s^{10}+8s^5x+1x^2=(4s^5+x)^2\)