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

Toán Lớp 8: c) – (x+y)^2+3 (x^2-y^2) d) 9-6x+x^2-y^2

Toán Lớp 8: c) – (x+y)^2+3 (x^2-y^2)
d) 9-6x+x^2-y^2

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    c) – (x+y)^2+3 (x^2-y^2)
    =-(x+y)^2+3(x+y)(x-y)
    =(x+y)[-(x+y)+3(x-y)]
    =(x+y)(-x-y+3x-3y)
    =(x+y)(2x-4y)
    =(x+y)2(x-2y)
    d)9-6x+x^2-y^2
    =3^2-2.3.x+x^2-y^2
    =(3-x)^2-y^2
    =(3-x-y)(3-x+y)

  2. Áp dụng công thức $a^2-b^2=(a-b)(a+b)$
    $c) – (x+y)^2+3 (x^2-y^2)$
    $=-(x+y)^2+3(x-y)(x+y)$
    $=(x+y)(-x-y+3x-3y)$
    $=(x+y)(2x-2y)$
    $d)9-6x+x^2-y^2$
    $=x^2-2.3.x+3^2-y^2$
    $=(x-3)^2-y^2$
    $=(x-y-3)(x+y-3)$

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