Resposta:
a)-2x³-3x²+4x+10+5x³+2x²-2x-3
=-2x³+5x³-3x²+2x²+4x-2x+10-3
=-2x³+5x³-3x²+2x²+4x-2x+7
=3x³-3x²+2x²+4x-2x+7
=3x³-x²+4x-2x+7
=3x³-x²+2x+7.
b) 5x³+2x²-2x-3+6x³-4x²-8x-5
=5x³+6x³+2x²-4x²-2x-8x-3-5
=5x³+6x³+2x²-4x²-2x-8x-8
=11x³+2x²-4x²-2x-8x-8
=11x³-2x²-2x-8x-8
=11x³-2x²-10x-8.
c) 6x³-4x²-8x-5-2x³-3x²+4x+10
=6x³-2x³-4x²3x²-8x+4x-5+10
=6x³-2x³-4x²-3x²-8x+4x+5
=4x3-4x²-3x²-8x+4x+5
=4x³-7x²-8x+4x+5
=4x³-7x²-4x+5.
d) 6x³-4x²-8x-5-2x³-3x²+4x+10
=6x³-2x³-4x²3x²-8x+4x-5+10
=6x³-2x³-4x²-3x²-8x+4x+5
=4x3-4x²-3x²-8x+4x+5
=4x³-7x²-8x+4x+5
=4x³-7x²-4x+5.
Explicação passo a passo:
1.
a) = (-2x³-3x²+4x+10)+(5x³+2x²-2x-3) = -2x³+5x³-3x²+2x²+4x-2x+10-3 = 3x³-x²+2x+7
b) = (5x³+2x²-2x-3)+(6x³-4x²-8x-5) = 5x³+6x³+2x²-4x²-2x-8x-3-5 = 11x³-2x²-10x-8
c) = (-2x³-3x²+4x+10)-(6x³-4x²-8x-5) = -2x³-6x³-3x²+4x²+4x+8x+10+5 = -8x³+x²+12x+15
d) = (6x³-4x²-8x-5)-(-2x³-3x²+4x+10) = 6x³+2x³-4x²+3x²-8x-4x-5-10 = 8x³-x²-12x-15
e) = -(6x³-4x²-8x-5)-(5x³+2x²-2x-3) = -6x³-5x³+4x²-2x²+8x+2x+5+3 = -11x³+2x²+10x+8
f) = 2×(-2x³-3x²+4x+10)-3×(6x³-4x²-8x-5) = -4x³-6x²+8x+20-18x³+12x²+24x+15 = -4x³-18x³-6x²+12x²+8x+24x+20+15 = -22x³+6x²+32x+35
g) = -3×(-2x³-3x²+4x+10)-4×(6x³-4x²-8x-5) = 6x³+9x²-12x-30-24x³+16x²+32x+20 = 6x³-24x³+9x²+16x²-12x+32x-30+20 = -18x³+25x²+20x-10
h) = -2×(6x³-4x²-8x-5)-(-2x³-3x²+4x+10) = -12x³+8x²+16x+10+2x³+3x²-4x-10 = -12x³+2x³+8x²+3x²+16x-4x+10-10 = -10x³+11x²+12x
i) = -3×(5x³+2x²-2x-3)-4×(6x³-4x²-8x-5) = -15x³-6x²+6x+9-24x³+16x²+32x+20 = -15x³-24x³-6x²+16x²+6x+32x+9+20 = -39x³+10x²+38x+29
j) = -2×(5x³+2x²-2x-3)-(-2x³-3x²+4x+10) = -10x³-4x²+4x+6+2x³+3x²-4x-10 = -10x³+2x³-4x²+3x²+4x-4x+6-10 = -8x³-x²-4