Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100q^2+140q+49\)
2. \(36q^{4}-25y^2\)
3. \(x^2-14x+49\)
4. \(81s^2-q^{4}\)
5. \(9q^{10}-25\)
6. \(-36x^2+1\)
7. \(-9y^2+169\)
8. \(225-64s^{4}\)
9. \(x^2-225\)
10. \(p^2-100\)
11. \(36p^{10}-132p^5s+121s^2\)
12. \(p^2-4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100q^2+140q+49=(10q+7)^2\)
2. \(36q^{4}-25y^2=(6q^2+5y)(6q^2-5y)\)
3. \(x^2-14x+49=(x-7)^2\)
4. \(81s^2-q^{4}=(9s-q^2)(9s+q^2)\)
5. \(9q^{10}-25=(3q^5+5)(3q^5-5)\)
6. \(-36x^2+1=(1-6x)(1+6x)\)
7. \(-9y^2+169=(13-3y)(13+3y)\)
8. \(225-64s^{4}=(15-8s^2)(15+8s^2)\)
9. \(x^2-225=(x-15)(x+15)\)
10. \(p^2-100=(p-10)(p+10)\)
11. \(36p^{10}-132p^5s+121s^2=(6p^5-11s)^2\)
12. \(p^2-4=(p+2)(p-2)\)