Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-144y^2+25\)
2. \(1-36b^{14}\)
3. \(q^2-49\)
4. \(256q^{10}-81\)
5. \(100s^{4}-60s^2x+9x^2\)
6. \(y^2-20y+100\)
7. \(s^2-81\)
8. \(y^2-121\)
9. \(169s^{10}+26s^5y+1y^2\)
10. \(p^2+10p+25\)
11. \(9p^{8}-84p^4s+196s^2\)
12. \(36s^{8}-121y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-144y^2+25=(5-12y)(5+12y)\)
2. \(1-36b^{14}=(1-6b^7)(1+6b^7)\)
3. \(q^2-49=(q-7)(q+7)\)
4. \(256q^{10}-81=(16q^5+9)(16q^5-9)\)
5. \(100s^{4}-60s^2x+9x^2=(10s^2-3x)^2\)
6. \(y^2-20y+100=(y-10)^2\)
7. \(s^2-81=(s+9)(s-9)\)
8. \(y^2-121=(y+11)(y-11)\)
9. \(169s^{10}+26s^5y+1y^2=(13s^5+y)^2\)
10. \(p^2+10p+25=(p+5)^2\)
11. \(9p^{8}-84p^4s+196s^2=(3p^4-14s)^2\)
12. \(36s^{8}-121y^2=(6s^4+11y)(6s^4-11y)\)