Question

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Scrieți sub formă canonică următoarele sume algebrice :
a) 10x²-4x-9x-5x²+7x,
b) 16x-8x-2x²-9+6x²,
c) 2x³-5x³+x+28x³-9x,
d) 7x³+2x³-x-30x³+7x,
e) x⁴-3x²-8x²-13x⁴+12x²,
f) x²-9x²-17x⁴+12x²+5x⁴.

Answer 1

a)10x²-4x-9x-5x²+7x=

(10x²-5x²)+(-4x-9x+7x)=

5x²-6x

b)16x-8x-2x²-9x+6x²=

(16x-8x-9x)+(-2x²+6x²)=

-x+4x²=

4x²-x

c)2x³-5x³+x+28x³-9x=

(2x³-5x³+28x³)+(x-9x)=

25x³-8x

d)7x³+2x³-x-30x³+7x=

(7x³+2x³-30x³)+(-x+7x)=

-21x³+6x

e)x⁴-3x²-8x²-13x⁴+12x²=

(x⁴-13x⁴)+(-3x²-8x²+12x²)=

-12x⁴+x²

f)x²-9x²-17x⁴+12x²+5x⁴=

(x²-9x²+12x²)+(-17x⁴+5x⁴)=

4x²-12x⁴