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

Toán Lớp 8: phân tích đa thức thành nhân tử: (x+1)(x-2)(x+6)(x-3)-45x^2

Toán Lớp 8: phân tích đa thức thành nhân tử:
(x+1)(x-2)(x+6)(x-3)-45x^2

Comments ( 1 )

  1. (x+1)(x-2)(x+6)(x-3) – 45x^2
    = (x+1)(x+6)(x-2)(x-3) – 45x^2
    = (x^2+7x+6)(x^2-5x+6) – 45x^2
    = (x^2+x+6 +6x)(x^2 + x + 6 – 6x) – 45x^2
    = (x^2+x+6)^2 – (6x)^2 – 45x^2
    = (x^2 + x + 6)^2 – 36x^2 – 45x^2
    = (x^2 + x + 6)^2 – 81x^2
    = (x^2+x+6)^2 – (9x)^2
    = (x^2 + x +6-9x)(x^2 + x +6 + 9x)
    = (x^2 – 8x + 6)(x^2 + 10x + 6)

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