Question

Calculați:
a) 12x-4x-2x+5x

b) 2x+5y+4x-7y-3x+4y

c) x²-2x+5+2x²-3+4x

d) x²•(x-2)

e) (x+2)•(x-3)

f) (12x⁴+6x²-24x) : (-6x)

g) (√3-√2)•(√3+√2)

h) (x-2) • (x+2) • (x²+4)

Rezolvare completă!!! COROANĂ+PUNCTE!!!


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Answer 1

a) 8x-2x+5x = 6x + 5x = 11x
b) -3x + 2 y

Answer 2

Pentru a calcula expresiile date, putem folosi regulile aritmetice și proprietățile algebraice.

a) 12x-4x-2x+5x = (12-4-2+5)x = 11x

b) 2x+5y+4x-7y-3x+4y = (2+4-3)x+(5-7+4)y = 3x-3y

c) x²-2x+5+2x²-3+4x = (1+2)x²+(4-2)x+(5-3) = 3x²+2x+2

d) x²•(x-2) = x²x-2x² = x³-2x²

e) (x+2)•(x-3) = x(x-3)+2(x-3) = x²-3x+2x-6 = x²-x-6

f) (12x⁴+6x²-24x) : (-6x) = (-1/6)(12x⁴+6x²-24x) = -2x⁴-x²+4x

g) (√3-√2)•(√3+√2) = (√3)²-(√2)² = 3-2 = 1

h) (x-2) • (x+2) • (x²+4) = (x-2)x(x²+4)+2(x²+4) = x³+2x²-2x²-8x+4x²+8 = x³+4x².