Math, asked by Saron9690, 8 months ago

M+n=5 or mn=6 (m2+n2) (m3+n3)=

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Answered by ms8120584
11

hope this helps

please mark as brainliest

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Answered by sandy1816
0

given \:  \:  \:  \:  \: m + n =5 \\   \:  \:  \:  \:  \:  \:  \:  \: mn = 6 \\  \\  {m}^{2}  +  {n}^{2}  = ( {m + n})^{2}  - 2mn \\  =  {5}^{2}  - 2 \times 6 \\  = 25 - 12 \\  = 13 \\  \\  {m}^{3}  +  {n}^{3}  = ( {m + n})^{3}  - 3mn(m + n) \\  =  {5}^{3}  - 3 \times 6 \times 5 \\  = 125 - 90 \\  = 35 \\  \\ ( {m}^{2}  +  {n}^{2} )( {m}^{3}  +  {n}^{3} ) = 13 \times 35 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 455

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