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

Toán Lớp 8: Thực hiện phép tính: a) 3x ( x ² – 5x + 7) b) -2xy ( 2x ³ + 5x – 1 ) c) ( x + 4 ) ( -x ² + 6x + 5 ) d) (x ² – 1 ) ( 2x ² – 3x + 4 )

Toán Lớp 8: Thực hiện phép tính:
a) 3x ( x ² – 5x + 7)
b) -2xy ( 2x ³ + 5x – 1 )
c) ( x + 4 ) ( -x ² + 6x + 5 )
d) (x ² – 1 ) ( 2x ² – 3x + 4 )

Comments ( 2 )

  1. Answer
    a, 3x . (x^{2} – 5x + 7)
    = (3x . x^{2}) – (3x . 5x) + (3x . 7)
    = 3x^{3} – 15x^{2} + 21x
    _______________________
    b, -2xy . (2x^{3} + 5x – 1)
    = (-2xy . 2x^{3}) + (-2xy . 5x) + (2xy . 1)
    = -4x^{4}y – 10x^{2}y + 2xy
    ______________________
    c, (x + 4) . (-x^{2} + 6x + 5)
    = (-x^{2} . x) + (x . 6x) + (x . 5) + (-x^{2} . 4) + (4 . 6x) + (4 . 5)
    = -x^{3} + 6x^{2} + 5x – 4x^{2} + 24x + 20
    = -x^{3} + (6x^{2} – 4x^{2}) + (5x + 24x) + 20
    = -x^{3} + 2x^{2} + 29x + 20
    ____________________________
    d, (x^{2} – 1) . (2x^{2} – 3x + 4)
    = (x^{2} . 2x^{2}) – (x^{2} . 3x) + (x^{2} . 4) – (1 . 2x^{2}) + (1 . 3x) – (1 . 4)
    = 2x^{4} – 3x^{3} + 4x^{2} – 2x^{2} + 3x – 4
    = 2x^{4} – 3x^{3} + (4x^{2} – 2x^{2}) + 3x – 4
    = 2x^{4} – 3x^{3} + 2x^{2} + 3x – 4

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