y^(2)+4xy+3y Which of the following is equivalent to the given expression? Choose 1 answer: (A) y(y+4x+3) (B) 4y(x+1) (c) 4y(x+y) (D) 4y^(2)(x+1)

Given Expression: We are given the expression y^(2)+4xy+3y and we need to find an equivalent expression among the choices provided.Factor Common Term: Let's try to factor the given expression. We can start by factoring out the common factor y from each term. y(y + 4x + 3)Compare with Choices: Now, we compare the factored expression y(y + 4x + 3) with the given choices. (A) y(y+4x+3) matches our factored expression. (B) 4y(x+1) does not match because it suggests a factor of 4y and a sum of x+1, which is not present in the original expression. (C) 4y(x+y) does not match because it suggests a factor of 4y and a sum of x+y, which is not present in the original expression. (D) 4y^(2)(x+1) does not match because it suggests a factor of 4y^2 and a sum of x+1, which is not present in the original expression.Correct Equivalent Expression: The correct equivalent expression is therefore (A) y(y+4x+3).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

y^(2)+4xy+3y
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
y(y+4x+3)
(B)
4y(x+1)
(c)
4y(x+y)
(D)
4y^(2)(x+1)

$y^{2}+4 x y+3 y$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $y(y+4 x+3)$ $\newline$ (B) $4 y(x+1)$ $\newline$ (C) $4 y(x+y)$ $\newline$ (D) $4 y^{2}(x+1)$

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

y^{2}+4 x y+3 y

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

y(y+4 x+3)

\newline

(B)

4 y(x+1)

\newline

(C)

4 y(x+y)

\newline

(D)

4 y^{2}(x+1)

Given Expression: We are given the expression $y^{2}+4xy+3y$ and we need to find an equivalent expression among the choices provided.
Factor Common Term: Let's try to factor the given expression. We can start by factoring out the common factor $y$ from each term. $y(y + 4x + 3)$
Compare with Choices: Now, we compare the factored expression $y(y + 4x + 3)$ with the given choices. $\newline$ (A) $y(y+4x+3)$ matches our factored expression. $\newline$ (B) $4y(x+1)$ does not match because it suggests a factor of $4y$ and a sum of $x+1$ , which is not present in the original expression. $\newline$ (C) $4y(x+y)$ does not match because it suggests a factor of $4y$ and a sum of $x+y$ , which is not present in the original expression. $\newline$ (D) $4y^{2}(x+1)$ does not match because it suggests a factor of $4y^2$ and a sum of $x+1$ , which is not present in the original expression.
Correct Equivalent Expression: The correct equivalent expression is therefore $(A) y(y+4x+3)$ .