Question

simplify the expression.
$5x + 3y^4 - 4x^3y^4 - 117 - 7x - 4y^2 + 7y^4 + 105$

Explanation:

Step1: Group like terms

$(5x - 7x) + (3y^4 + 7y^4) - 4x^3y^4 + (-117 + 105) - 4y^2$

Step2: Combine like terms

$5x - 7x = -2x$
$3y^4 + 7y^4 = 10y^4$
$-117 + 105 = -12$

Step3: Write simplified expression

Combine all results and keep uncombinable terms

Answer:

$-2x + 10y^4 - 4x^3y^4 - 12 - 4y^2$ (or rearranged as $-4x^3y^4 + 10y^4 - 4y^2 - 2x - 12$)