(6t^(4)-t+1)-(6t^(3)-4t) Which of the following expressions is equivalent to the given expression? Choose 1 answer: (A) 6t^(4)-6t^(3)+3t+1 (B) 6t^(4)-6t^(3)-5t+1 (c) 3t+1 (D) -5t+1

Subtracting Polynomials: We need to subtract the second polynomial from the first one. To do this, we distribute the negative sign across the terms in the second polynomial and then combine like terms. (6t^(4)-t+1) - (6t^(3)-4t) becomes 6t^(4)-t+1 - 6t^(3)+4t.Combining Like Terms: Now, we combine like terms. There are no other t^4 or t^3 terms, so they remain as they are. The t terms are -t and +4t, which combine to +3t. The constant term is +1. So, the expression becomes 6t^(4) - 6t^(3) + 3t + 1.Checking the Expression: We check the expression to ensure there are no other like terms that can be combined and that all signs have been correctly distributed. 6t^(4) - 6t^(3) + 3t + 1 is the simplified form, and there are no further like terms to combine.

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(6t^(4)-t+1)-(6t^(3)-4t)
Which of the following expressions is equivalent to the given expression?
Choose 1 answer:
(A)
6t^(4)-6t^(3)+3t+1
(B)
6t^(4)-6t^(3)-5t+1
(c)
3t+1
(D)
-5t+1

$\left(6 t^{4}-t+1\right)-\left(6 t^{3}-4 t\right)$ $\newline$ Which of the following expressions is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $6 t^{4}-6 t^{3}+3 t+1$ $\newline$ (B) $6 t^{4}-6 t^{3}-5 t+1$ $\newline$ (C) $3 t+1$ $\newline$ (D) $-5 t+1$

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Full solution

\left(6 t^{4}-t+1\right)-\left(6 t^{3}-4 t\right)

\newline

Which of the following expressions is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

6 t^{4}-6 t^{3}+3 t+1

\newline

(B)

6 t^{4}-6 t^{3}-5 t+1

\newline

(C)

3 t+1

\newline

(D)

-5 t+1

Subtracting Polynomials: We need to subtract the second polynomial from the first one. To do this, we distribute the negative sign across the terms in the second polynomial and then combine like terms. $\newline$ $(6t^{4}-t+1) - (6t^{3}-4t)$ becomes $6t^{4}-t+1 - 6t^{3}+4t$ .
Combining Like Terms: Now, we combine like terms. There are no other $t^4$ or $t^3$ terms, so they remain as they are. The $t$ terms are $-t$ and $+4t$ , which combine to $+3t$ . The constant term is $+1$ . $\newline$ So, the expression becomes $6t^{4} - 6t^{3} + 3t + 1$ .
Checking the Expression: We check the expression to ensure there are no other like terms that can be combined and that all signs have been correctly distributed. $6t^{4} - 6t^{3} + 3t + 1$ is the simplified form, and there are no further like terms to combine.