(3x to the fourth - 5x squared - 6x +5) + (-4x cubed + 6x squared + 7x -1)
ARGBEBTGWEV%$WT@$WC$$$$$$EV#QT%EW UH%VHTWECX
Ok, so we have
(3x^4 - 5x^2 - 6x + 5) + (-4x^3 + 6x^2 + 7x - 1)
add it up, collecting like powers:
3x^4 - 4x^3 + (-5 + 6)x^2 + (-6 + 7)x + (5 + -1)
= 3x^4 - 4x^3 + x^2 + x + 4
To simplify the given expression (3x^4 - 5x^2 - 6x + 5) + (-4x^3 + 6x^2 + 7x - 1), we need to combine like terms.
Step 1: Keep the terms with similar powers of x together.
Grouping the terms with similar powers of x, we get:
(3x^4 + (-4x^3)) + (-5x^2 + 6x^2) + (-6x + 7x) + (5 - 1)
Step 2: Perform the addition/subtraction.
Add the coefficients of the terms with the same power of x:
3x^4 - 4x^3 - 5x^2 + 6x^2 - 6x + 7x + 5 - 1
Step 3: Combine like terms.
Combine the terms with the same power of x:
3x^4 - 4x^3 + (6x^2 - 5x^2) + (-6x + 7x) + (5 - 1)
Simplifying, we get:
3x^4 - 4x^3 + x^2 + x + 4
Therefore, the simplified expression is 3x^4 - 4x^3 + x^2 + x + 4.