Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2+60y+100\)
2. \(9q^2-169\)
3. \(-64s^2+1\)
4. \(144-121q^{12}\)
5. \(x^2-26x+169\)
6. \(225-64x^{4}\)
7. \(4x^{6}+4x^3+1\)
8. \(144a^{4}+120a^2b+25b^2\)
9. \(144a^2+264a+121\)
10. \(121q^{6}-196y^2\)
11. \(144a^{4}-25p^2\)
12. \(64x^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2+60y+100=(3y+10)^2\)
2. \(9q^2-169=(3q+13)(3q-13)\)
3. \(-64s^2+1=(1-8s)(1+8s)\)
4. \(144-121q^{12}=(12-11q^6)(12+11q^6)\)
5. \(x^2-26x+169=(x-13)^2\)
6. \(225-64x^{4}=(15-8x^2)(15+8x^2)\)
7. \(4x^{6}+4x^3+1=(2x^3+1)^2\)
8. \(144a^{4}+120a^2b+25b^2=(12a^2+5b)^2\)
9. \(144a^2+264a+121=(12a+11)^2\)
10. \(121q^{6}-196y^2=(11q^3+14y)(11q^3-14y)\)
11. \(144a^{4}-25p^2=(12a^2+5p)(12a^2-5p)\)
12. \(64x^2-49=(8x+7)(8x-7)\)