Which of the following is equivalent to (12 x^2+4 x+5 y)+(3 x^2-2 x+3 y) ? A) 2 x^2-2 x+8 y B) 2

Name: Problem 7, Chapter :
Uploaded: 2021-05-06T11:58:02-08:00
Duration: 1 min 59 s
Channel: Brenda Sanchez
Description: Which of the following is equivalent to (12 x^2+4 x+5 y)+(3 x^2-2 x+3 y) ? A) 2 x^2-2 x+8 y B) 2 x^2+15 x+8 y C) 15 x^2-2 x+8 y D) 15 x^2+2 x+8 y

step 1 Let's write the information down and then we have to find an equivalent expression. So we have 1

Question

Which of the following is equivalent to $\left(12 x^{2}+4 x+5 y\right)+\left(3 x^{2}-2 x+3 y\right) ?$ A) $2 x^{2}-2 x+8 y$ B) $2 x^{2}+15 x+8 y$ C) $15 x^{2}-2 x+8 y$ D) $15 x^{2}+2 x+8 y$

   Which of the following is equivalent to $\left(12 x^{2}+4 x+5 y\right)+\left(3 x^{2}-2 x+3 y\right) ?$
A) $2 x^{2}-2 x+8 y$
B) $2 x^{2}+15 x+8 y$
C) $15 x^{2}-2 x+8 y$
D) $15 x^{2}+2 x+8 y$

Instant Answer

Solved by Expert Brenda Sanchez

05/06/2021

Step 1

This gives us: \[12 x^{2}+4 x+5 y+3 x^{2}-2 x+3 y\] Show more…

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Which of the following is equivalent to $\left(12 x^{2}+4 x+5 y\right)+\left(3 x^{2}-2 x+3 y\right) ?$ A) $2 x^{2}-2 x+8 y$ B) $2 x^{2}+15 x+8 y$ C) $15 x^{2}-2 x+8 y$ D) $15 x^{2}+2 x+8 y$

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Key Concepts

Polynomials

Polynomials are algebraic expressions composed of variables and coefficients, combined using arithmetic operations such as addition, subtraction, and multiplication. They are arranged in terms where each term includes a coefficient multiplied by a variable raised to a non-negative integer power.

Addition of Polynomials

The addition of polynomials involves summing the coefficients of like terms, which are terms that have the same variable raised to the same power. This process is performed term by term to produce a new polynomial, maintaining clarity and simplicity in algebraic expressions.

Combining Like Terms

Combining like terms means grouping and adding terms within an expression that have identical variable parts. This key algebraic technique simplifies expressions and is essential for solving equations and reducing expressions to their simplest form.

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