Question

which expression is equivalent to $(3x^{5}+8x^{3})-(7x^{2}-6x^{3})$?
a $3x^{5}+2x^{3}-7x^{2}$
b $-4x^{5}+14x^{3}$
c $-4x^{3}+14$
d $3x^{5}+14x^{3}-7x^{2}$

Explanation:

Step1: Distribute the negative sign

$(3x^5 + 8x^3) - 7x^2 + 6x^3$

Step2: Combine like $x^3$ terms

$3x^5 + (8x^3 + 6x^3) - 7x^2$

Step3: Simplify the expression

$3x^5 + 14x^3 - 7x^2$

Answer:

D. $3x^5 + 14x^3 - 7x^2$