Question

value: 2
simplify the following expression.
$6a^{4}c + 8ac^{2} - 4a^{4}c - 15 - 10ac^{2}$
\\(\circ\\) a. $2a^{4}c - 2ac^{2}$
\\(\circ\\) b. $-4a^{4}c + 4ac^{2} - 30$
\\(\circ\\) c. $2a^{4}c - 2ac^{2} - 15$
\\(\circ\\) d. $2a^{4}c + 17ac^{2} - 15$

Explanation:

Step1: Group like terms

$(6a^4c - 4a^4c) + (8ac^2 - 10ac^2) - 15$

Step2: Combine $a^4c$ terms

$6a^4c - 4a^4c = 2a^4c$

Step3: Combine $ac^2$ terms

$8ac^2 - 10ac^2 = -2ac^2$

Step4: Assemble simplified expression

$2a^4c - 2ac^2 - 15$

Answer:

c. $2a^4c - 2ac^2 - 15$