Question

please help guys
[(-2x⁴-4x²+2)+(-x³+5x+4)]-[(x³-4x+1)+(2x⁴-3x³-4x²+3)]

Answer 1

Respuesta:

Explicación paso a paso:

[(-2x⁴-4x²+2)+(-x³+5x+4)]-[(x³-4x+1)+(2x⁴-3x³-4x²+3)]=

[-2x⁴-4x²+2-x³+5x+4]-[x³-4x+1+2x⁴-3x³-4x²+3]=

[-2x⁴-4x²+2-x³+5x+4-x³+4x-1-2x⁴+3x³+4x²-3]=

[-4x⁴+2+9x+x³]

Answer 2

To arrive at the answer we would have to carry out the following process:


$(( - 2x {}^{4} - 4x {}^{2} + 2) + ( - x {}^{3} - 4x + 1) + (2x {}^{4} - 3x {}^{3} - 4x {}^{2} + 3))$

We remove the parentheses unnecessary

$- 2x {}^{4} - 4x {}^{2} + 2 + ( - x {}^{3} + 5x + 4) - ((x {}^{3} - 4x + 1) + (2x {}^{4} - 3x {}^{3} - 4x {}^{2} + 3))$


When there is a "+" in front of the parentheses, the expression remains the same

$- 2x {}^{4} - 4x { +}^{2} + 2 - x {}^{3} + 5x + 4 - (x {}^{3} - 4x + 1 + 2x {}^{4} - 3x {}^{3} - 4x {}^{2} + 3)$


Group similar terms

$- 2x {}^{4} - 4x {}^{2} + 2 - x {}^{3} + 5x + 4 - ( - 2x {}^{3} - 4x + 1 + 2x {}^{4} - 4x {}^{2} + 3)$


Add the numbers

$- 2x {}^{4} - 4x {}^{2} + 2 - x {}^{3} + 5x + 4 - ( - 2x {}^{3} - 4x + 4 + 2x {}^{4} - 4x {}^{2} )$


When there is a "-" sign in front of the parentheses, change the sign of each term within the parentheses

$- 2x {}^{4} - 4x {}^{2} + 2 - x {}^{3} + 5x + 4 + 2x {}^{3} + 4x - 4 - 2x {}^{4} + 4x {}^{2}$



Eliminate the opposites

$- 2x {}^{4} + 2 - x {}^{3} + 5x + 2x {}^{3} + 4x - 2x {}^{4}$



Group similar terms

$- 4x {}^{4} + 2 + x {}^{3} + 9x$



Use the commutative property to rearrange the terms

$- 4x {}^{4} + x {}^{3} + 9x + 2$


And that's how we got to the result.


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