Oblicz:
a) (∛7 - ∛3) (∛49 + ∛21 + ∛9)
b) (∛5 + 2) (∛25 - 2∛5 + 4)
a) (∛7 - ∛3) (∛49 + ∛21 + ∛9)
b) (∛5 + 2) (∛25 - 2∛5 + 4)
krysta
![a) \\\\( \sqrt[3]{7} - \sqrt[3]{3}) ( \sqrt[3]{49 }+ \sqrt[3]{ 21} + \sqrt[3]{9}) =\\\\= \sqrt[3]{7}*\sqrt[3]{49 }+ \sqrt[3]{7}* \sqrt[3]{ 21} + \sqrt[3]{7}* \sqrt[3]{9}- \sqrt[3]{3}* \sqrt[3]{49 }-\sqrt[3]{3}* \sqrt[3]{ 21}- \sqrt[3]{3}* \sqrt[3]{9}=\\\\=\sqrt[3]{7*49} + \sqrt[3]{7*21} + \sqrt[3]{7*9} - \sqrt[3]{3*49} -\sqrt[3]{3*21} - \sqrt[3]{3*9} =\\\\= \sqrt[3]{343} + \sqrt[3]{147} + \sqrt[3]{63} - \sqrt[3]{147} -\sqrt[3]{63} - \sqrt[3]{27} =7 - 3 = 4](https://tex.z-dn.net/?f=a%29+%5C%5C%5C%5C%28+%5Csqrt%5B3%5D%7B7%7D+-+%5Csqrt%5B3%5D%7B3%7D%29+%28+%5Csqrt%5B3%5D%7B49+%7D%2B+%5Csqrt%5B3%5D%7B+21%7D+%2B+%5Csqrt%5B3%5D%7B9%7D%29+%3D%5C%5C%5C%5C%3D+%5Csqrt%5B3%5D%7B7%7D%2A%5Csqrt%5B3%5D%7B49+%7D%2B+%5Csqrt%5B3%5D%7B7%7D%2A+%5Csqrt%5B3%5D%7B+21%7D+%2B+%5Csqrt%5B3%5D%7B7%7D%2A+%5Csqrt%5B3%5D%7B9%7D-+%5Csqrt%5B3%5D%7B3%7D%2A+%5Csqrt%5B3%5D%7B49+%7D-%5Csqrt%5B3%5D%7B3%7D%2A+%5Csqrt%5B3%5D%7B+21%7D-+%5Csqrt%5B3%5D%7B3%7D%2A+%5Csqrt%5B3%5D%7B9%7D%3D%5C%5C%5C%5C%3D%5Csqrt%5B3%5D%7B7%2A49%7D+%2B+%5Csqrt%5B3%5D%7B7%2A21%7D+%2B+%5Csqrt%5B3%5D%7B7%2A9%7D+-+%5Csqrt%5B3%5D%7B3%2A49%7D+-%5Csqrt%5B3%5D%7B3%2A21%7D+-+%5Csqrt%5B3%5D%7B3%2A9%7D+%3D%5C%5C%5C%5C%3D+%5Csqrt%5B3%5D%7B343%7D+%2B+%5Csqrt%5B3%5D%7B147%7D+%2B+%5Csqrt%5B3%5D%7B63%7D+-+%5Csqrt%5B3%5D%7B147%7D+-%5Csqrt%5B3%5D%7B63%7D+-+%5Csqrt%5B3%5D%7B27%7D+%3D7+-+3+%3D+4 "a) \\\\( \sqrt[3]{7} - \sqrt[3]{3}) ( \sqrt[3]{49 }+ \sqrt[3]{ 21} + \sqrt[3]{9}) =\\\\= \sqrt[3]{7}*\sqrt[3]{49 }+ \sqrt[3]{7}* \sqrt[3]{ 21} + \sqrt[3]{7}* \sqrt[3]{9}- \sqrt[3]{3}* \sqrt[3]{49 }-\sqrt[3]{3}* \sqrt[3]{ 21}- \sqrt[3]{3}* \sqrt[3]{9}=\\\\=\sqrt[3]{7*49} + \sqrt[3]{7*21} + \sqrt[3]{7*9} - \sqrt[3]{3*49} -\sqrt[3]{3*21} - \sqrt[3]{3*9} =\\\\= \sqrt[3]{343} + \sqrt[3]{147} + \sqrt[3]{63} - \sqrt[3]{147} -\sqrt[3]{63} - \sqrt[3]{27} =7 - 3 = 4")
![b) \\\\(\sqrt[3]{ 5} + 2) (\sqrt[3]{ 25} - 2 \sqrt[3]{5} + 4)=\\\\=\sqrt[3]{ 5}*\sqrt[3]{ 25} -\sqrt[3]{ 5}* 2 \sqrt[3]{5} + 4\sqrt[3]{ 5}+2\sqrt[3]{ 25} - 4 \sqrt[3]{5} + 8=\\\\=\sqrt[3]{ 5*25 } - 2 \sqrt[3]{5*5} + 4\sqrt[3]{ 5}+2\sqrt[3]{ 25} - 4 \sqrt[3]{5} + 8=\\\\= \sqrt[3]{ 125 } - 2 \sqrt[3]{25} + 4\sqrt[3]{ 5}+2\sqrt[3]{ 25} - 4 \sqrt[3]{5} + 8= 5 + 8=13](https://tex.z-dn.net/?f=b%29+%5C%5C%5C%5C%28%5Csqrt%5B3%5D%7B+5%7D+%2B+2%29+%28%5Csqrt%5B3%5D%7B+25%7D+-+2+%5Csqrt%5B3%5D%7B5%7D+%2B+4%29%3D%5C%5C%5C%5C%3D%5Csqrt%5B3%5D%7B+5%7D%2A%5Csqrt%5B3%5D%7B+25%7D+-%5Csqrt%5B3%5D%7B+5%7D%2A+2+%5Csqrt%5B3%5D%7B5%7D+%2B+4%5Csqrt%5B3%5D%7B+5%7D%2B2%5Csqrt%5B3%5D%7B+25%7D+-+4+%5Csqrt%5B3%5D%7B5%7D+%2B+8%3D%5C%5C%5C%5C%3D%5Csqrt%5B3%5D%7B+5%2A25+%7D+-+2+%5Csqrt%5B3%5D%7B5%2A5%7D+%2B+4%5Csqrt%5B3%5D%7B+5%7D%2B2%5Csqrt%5B3%5D%7B+25%7D+-+4+%5Csqrt%5B3%5D%7B5%7D+%2B+8%3D%5C%5C%5C%5C%3D+%5Csqrt%5B3%5D%7B+125+%7D+-+2+%5Csqrt%5B3%5D%7B25%7D+%2B+4%5Csqrt%5B3%5D%7B+5%7D%2B2%5Csqrt%5B3%5D%7B+25%7D+-+4+%5Csqrt%5B3%5D%7B5%7D+%2B+8%3D+5+%2B+8%3D13 "b) \\\\(\sqrt[3]{ 5} + 2) (\sqrt[3]{ 25} - 2 \sqrt[3]{5} + 4)=\\\\=\sqrt[3]{ 5}*\sqrt[3]{ 25} -\sqrt[3]{ 5}* 2 \sqrt[3]{5} + 4\sqrt[3]{ 5}+2\sqrt[3]{ 25} - 4 \sqrt[3]{5} + 8=\\\\=\sqrt[3]{ 5*25 } - 2 \sqrt[3]{5*5} + 4\sqrt[3]{ 5}+2\sqrt[3]{ 25} - 4 \sqrt[3]{5} + 8=\\\\= \sqrt[3]{ 125 } - 2 \sqrt[3]{25} + 4\sqrt[3]{ 5}+2\sqrt[3]{ 25} - 4 \sqrt[3]{5} + 8= 5 + 8=13")
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