Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2+20x+100\)
2. \(64p^{4}-49x^2\)
3. \(y^2-16\)
4. \(121x^{4}+286x^2+169\)
5. \(256b^{14}-225\)
6. \(25q^{4}-1\)
7. \(100s^{4}-180s^2x+81x^2\)
8. \(100q^2-121\)
9. \(256b^{6}-25x^2\)
10. \(a^2-1\)
11. \(9b^{8}-49\)
12. \(100q^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2+20x+100=(x+10)^2\)
2. \(64p^{4}-49x^2=(8p^2+7x)(8p^2-7x)\)
3. \(y^2-16=(y-4)(y+4)\)
4. \(121x^{4}+286x^2+169=(11x^2+13)^2\)
5. \(256b^{14}-225=(16b^7+15)(16b^7-15)\)
6. \(25q^{4}-1=(5q^2+1)(5q^2-1)\)
7. \(100s^{4}-180s^2x+81x^2=(10s^2-9x)^2\)
8. \(100q^2-121=(10q+11)(10q-11)\)
9. \(256b^{6}-25x^2=(16b^3+5x)(16b^3-5x)\)
10. \(a^2-1=(a-1)(a+1)\)
11. \(9b^{8}-49=(3b^4+7)(3b^4-7)\)
12. \(100q^2-49=(10q+7)(10q-7)\)