Which of the following expressions is equivalent to (x^(2)-2x+1)+(x^(2)+2x+1) ? Choose 1 answer: (A) 2x (B) -2x (C) 2x^(2)+2 (D) 2x^(2)

Combine like terms: Combine like terms from both expressions. (x^(2)-2x+1)+(x^(2)+2x+1) = x^(2) + x^(2) + (-2x) + 2x + 1 + 1Simplify expression: Simplify the expression by adding the coefficients of like terms. 2x^(2) + 0x + 2Identify correct answer: Identify the correct answer from the given options. The simplified expression is 2x^(2) + 2, which matches option (C).

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Which of the following expressions is equivalent to

(x^(2)-2x+1)+(x^(2)+2x+1)
?
Choose 1 answer:
(A)
2x
(B)
-2x
(C)
2x^(2)+2
(D)
2x^(2)

Which of the following expressions is equivalent to $\newline$ $\left(x^{2}-2 x+1\right)+\left(x^{2}+2 x+1\right)$ $\newline$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $2 x$ $\newline$ (B) $-2 x$ $\newline$ (C) $2 x^{2}+2$ $\newline$ (D) $2 x^{2}$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following expressions is equivalent to

\newline

\left(x^{2}-2 x+1\right)+\left(x^{2}+2 x+1\right)

\newline

\newline

Choose

1

answer:

\newline

(A)

2 x

\newline

(B)

-2 x

\newline

(C)

2 x^{2}+2

\newline

(D)

2 x^{2}

Combine like terms: Combine like terms from both expressions. $\newline$ $(x^{2}-2x+1)+(x^{2}+2x+1) = x^{2} + x^{2} + (-2x) + 2x + 1 + 1$
Simplify expression: Simplify the expression by adding the coefficients of like terms. $2x^{2} + 0x + 2$
Identify correct answer: Identify the correct answer from the given options. $\newline$ The simplified expression is $2x^{2} + 2$ , which matches option $(C)$ .