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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: rút gọn biểu thức (2a^2+2a+1)(2a^2-2a+1)-(2a^2+1)^2

Toán Lớp 8: rút gọn biểu thức
(2a^2+2a+1)(2a^2-2a+1)-(2a^2+1)^2

Comments ( 2 )

  1. #AkaShi
    (2a²+2a+1)(2a²-2a+1)-(2a²+1)²
    =4a^4-4a³+2a²+4a³-4a²+2a+2a²-2a+1-(4a^4+4a²+1)
    =4a^4-4a³+2a²+4a³-4a²+2a+2a²-2a+1-4a^4-4a²-1
    =(4a^4-4a^4)+(4a³-4a³)+(2a²+2a²-4a²-4a²)+(2a-2a)+(1-1)
    =-4a²
     

  2. Giải đáp+Lời giải và giải thích chi tiết:
    ($2a^2$+2a+1)($2a^2$-2a+1)-$($2a^2$+1)^2$ 
    =$4a^4$-$4a^3$+$2a^2$+$4a^3$-$4a^2$+2a+$2a^2$-2a+1-$4a^4$-$4a^2$-1
    =($4a^2$-$4a^2$)+($-4a^3$+$4a^3$)+($2a^2$-$4a^2$+$2a^2$$-4a^2$)+(2a-2a)+(1-1)
    =$-4a^2$

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222-9+11+12:2*14+14 = ? ( )

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