Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100y^2-b^{12}\)
2. \(b^2+16b+64\)
3. \(49s^{10}-84s^5+36\)
4. \(256y^{8}+416y^4+169\)
5. \(y^2+12y+36\)
6. \(q^2-121\)
7. \(81p^2+180p+100\)
8. \(225p^2-210p+49\)
9. \(16x^{6}-25y^2\)
10. \(36b^{4}+12b^2x+1x^2\)
11. \(169p^{8}+208p^4s+64s^2\)
12. \(y^2+2y+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100y^2-b^{12}=(10y-b^6)(10y+b^6)\)
2. \(b^2+16b+64=(b+8)^2\)
3. \(49s^{10}-84s^5+36=(7s^5-6)^2\)
4. \(256y^{8}+416y^4+169=(16y^4+13)^2\)
5. \(y^2+12y+36=(y+6)^2\)
6. \(q^2-121=(q+11)(q-11)\)
7. \(81p^2+180p+100=(9p+10)^2\)
8. \(225p^2-210p+49=(15p-7)^2\)
9. \(16x^{6}-25y^2=(4x^3+5y)(4x^3-5y)\)
10. \(36b^{4}+12b^2x+1x^2=(6b^2+x)^2\)
11. \(169p^{8}+208p^4s+64s^2=(13p^4+8s)^2\)
12. \(y^2+2y+1=(y+1)^2\)