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

Toán Lớp 8: D )(2x+5)^ 2 +(2x-5)^ 2 +2(2x+5)(2x-5)

Toán Lớp 8: D )(2x+5)^ 2 +(2x-5)^ 2 +2(2x+5)(2x-5)

Comments ( 2 )

  1. D,(2x+5)^ 2 +(2x-5)^ 2 +2(2x+5)(2x-5)
    =[(2x)^2+2.2x.5+5^2]+[(2x)^2-2.2x.5+5^2]+(4x+10)(2x-5)
    =4x^2+20x+25+4x^2-20x+25+8x^2-20x+20x-50
    =(4x^2+4x^2+8x^2)+(20x-20x-20x+20x)+(25+25-50)
    =16x^2
    #owen
     

  2. Giải đáp:
    16x^2
    Lời giải và giải thích chi tiết:
    d) ( 2x + 5 )^2 + ( 2x – 5 )^2 + 2( 2x + 5 )( 2x – 5 )
    = ( 2x + 5 )^2 + 2( 2x + 5 )( 2x – 5 ) + ( 2x – 5 )^2
    Áp dụng hằng đẳng thức ( a + b )^2 = a^2 + 2ab + b^2 , ta được :
    ( 2x + 5 )^2 + 2( 2x + 5 )( 2x – 5 ) + ( 2x – 5 )^2
    = ( 2x + 5 + 2x – 5 )^2
    = ( 4x )^2 = 16x^2
    Vậy ( 2x + 5 )^2 + ( 2x – 5 )^2 + 2( 2x + 5 )( 2x – 5 ) = 16x^2

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