2x(3x+y) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 5x^(2)+2xy (B) 5x^(2)+y (C) 6x^(2)+2y (D) 6x^(2)+2xy

Distribute 2x: We need to distribute the term 2x across the terms inside the parentheses (3x+y). This means we will multiply 2x by each term inside the parentheses separately. Calculation: 2x * 3x + 2x * yMultiply 2x by 3x: First, multiply 2x by 3x. Calculation: 2x * 3x = 6x^2Multiply 2x by y: Next, multiply 2x by y. Calculation: 2x * y = 2xyCombine results: Combine the results from the two multiplications to get the final expression. Calculation: 6x^2 + 2xy

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2x(3x+y)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
5x^(2)+2xy
(B)
5x^(2)+y
(C)
6x^(2)+2y
(D)
6x^(2)+2xy

$2 x(3 x+y)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $5 x^{2}+2 x y$ $\newline$ (B) $5 x^{2}+y$ $\newline$ (C) $6 x^{2}+2 y$ $\newline$ (D) $6 x^{2}+2 x y$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

2 x(3 x+y)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

5 x^{2}+2 x y

\newline

(B)

5 x^{2}+y

\newline

(C)

6 x^{2}+2 y

\newline

(D)

6 x^{2}+2 x y

Distribute $2x$ : We need to distribute the term $2x$ across the terms inside the parentheses $(3x+y)$ . This means we will multiply $2x$ by each term inside the parentheses separately. $\newline$ Calculation: $2x \times 3x + 2x \times y$
Multiply $2x$ by $3x$ : First, multiply $2x$ by $3x$ . $\newline$ Calculation: $2x \times 3x = 6x^2$
Multiply $2x$ by $y$ : Next, multiply $2x$ by $y$ . $\newline$ Calculation: $2x \times y = 2xy$
Combine results: Combine the results from the two multiplications to get the final expression. $\newline$ Calculation: $6x^2 + 2xy$