Question

Which expression is equivalent to (3x5 + 8x?) - (7x2 - 6x?)? A- 4x + 14 4x5 + 143 c. 3x5 + 14x37x2 D. 3x5+2x3 - 2x

Answer 1

C. 3x⁵ + 14x³- 7x²

Step-by-step explanation:

Given the expression:

`\mleft(3x^5+8x^3\mright)-(7x^2-6x^3)`

First, remove all brackets:

`=3x^5+8x^3-7x^2+6x^3`

Next, collect and combine like terms:

`\begin{gathered} =3x^5+8x^3+6x^3-7x^2 \\ =3x^5+14x^3-7x^2 \end{gathered}`

An equivalent expression is 3x⁵ + 14x³- 7x².

The correct choice is C.