Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-9\)
2. \(x^2-20x+100\)
3. \(49x^{10}-121\)
4. \(-121x^2+49\)
5. \(81a^{8}-36a^4y+4y^2\)
6. \(16q^2+56q+49\)
7. \(64q^{14}-169\)
8. \(b^2-225\)
9. \(4a^{4}+44a^2p+121p^2\)
10. \(36q^2+132q+121\)
11. \(81s^2+72s+16\)
12. \(64x^2-112x+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-9=(b-3)(b+3)\)
2. \(x^2-20x+100=(x-10)^2\)
3. \(49x^{10}-121=(7x^5+11)(7x^5-11)\)
4. \(-121x^2+49=(7-11x)(7+11x)\)
5. \(81a^{8}-36a^4y+4y^2=(9a^4-2y)^2\)
6. \(16q^2+56q+49=(4q+7)^2\)
7. \(64q^{14}-169=(8q^7+13)(8q^7-13)\)
8. \(b^2-225=(b+15)(b-15)\)
9. \(4a^{4}+44a^2p+121p^2=(2a^2+11p)^2\)
10. \(36q^2+132q+121=(6q+11)^2\)
11. \(81s^2+72s+16=(9s+4)^2\)
12. \(64x^2-112x+49=(8x-7)^2\)