Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4y^2+28y+49\)
2. \(x^2+28x+196\)
3. \(64s^{10}+144s^5x+81x^2\)
4. \(p^2-169\)
5. \(-4y^2+121\)
6. \(25y^2-36x^{10}\)
7. \(16q^{4}-9y^2\)
8. \(4-25q^{4}\)
9. \(121x^2-4\)
10. \(16y^2-88y+121\)
11. \(64s^{6}-208s^3y+169y^2\)
12. \(36a^{10}-132a^5+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4y^2+28y+49=(2y+7)^2\)
2. \(x^2+28x+196=(x+14)^2\)
3. \(64s^{10}+144s^5x+81x^2=(8s^5+9x)^2\)
4. \(p^2-169=(p+13)(p-13)\)
5. \(-4y^2+121=(11-2y)(11+2y)\)
6. \(25y^2-36x^{10}=(5y-6x^5)(5y+6x^5)\)
7. \(16q^{4}-9y^2=(4q^2+3y)(4q^2-3y)\)
8. \(4-25q^{4}=(2-5q^2)(2+5q^2)\)
9. \(121x^2-4=(11x+2)(11x-2)\)
10. \(16y^2-88y+121=(4y-11)^2\)
11. \(64s^{6}-208s^3y+169y^2=(8s^3-13y)^2\)
12. \(36a^{10}-132a^5+121=(6a^5-11)^2\)