Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49p^2+56p+16\)
2. \(4s^2-49p^{4}\)
3. \(-64x^2+225\)
4. \(16p^2-121\)
5. \(169q^{4}-121y^2\)
6. \(144b^2-264b+121\)
7. \(225x^2+330x+121\)
8. \(36p^{8}+12p^4+1\)
9. \(36q^2-169\)
10. \(36s^{8}+60s^4y+25y^2\)
11. \(4b^2-225\)
12. \(225b^{4}+210b^2p+49p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49p^2+56p+16=(7p+4)^2\)
2. \(4s^2-49p^{4}=(2s-7p^2)(2s+7p^2)\)
3. \(-64x^2+225=(15-8x)(15+8x)\)
4. \(16p^2-121=(4p+11)(4p-11)\)
5. \(169q^{4}-121y^2=(13q^2+11y)(13q^2-11y)\)
6. \(144b^2-264b+121=(12b-11)^2\)
7. \(225x^2+330x+121=(15x+11)^2\)
8. \(36p^{8}+12p^4+1=(6p^4+1)^2\)
9. \(36q^2-169=(6q+13)(6q-13)\)
10. \(36s^{8}+60s^4y+25y^2=(6s^4+5y)^2\)
11. \(4b^2-225=(2b+15)(2b-15)\)
12. \(225b^{4}+210b^2p+49p^2=(15b^2+7p)^2\)