How to Distribute in an Algebra Problem

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In summary, the question is how to simplify the equation from $2(x^{2}+y^{2})(2x+2yy')$ to $4x(x^{2}+y^{2})+4y(x^{2}+y^{2})y'$. The solution is to distribute the $(x^{2}+y^{2})$ term to the other terms in parentheses.
  • #1
tmt1
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Hi working on an algebra/calculus problem

How do I get from

2 (x^2+y^2) (2x+2yy')

to 4x (x^2+y^2) + 4y(x^2+y^2) y'

It is very confusing.

Tim
 
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  • #2
tmt said:
Hi working on an algebra/calculus problem

How do I get from

2 (x2+y2) (2x+2yy')

to 4x (x2+y2) + 4y(x2+y2) y'

It is very confusing.

Tim

Did you mean, how do you get from $2(x^{2}+y^{2})(2x+2yy')$ to $4x(x^{2}+y^{2})+4y(x^{2}+y^{2})y'$? Because, if so, that's just distributing the $(x^{2}+y^{2})$ times the other stuff in parentheses.
 
  • #3
Ackbach said:
Did you mean, how do you get from $2(x^{2}+y^{2})(2x+2yy')$ to $4x(x^{2}+y^{2})+4y(x^{2}+y^{2})y'$? Because, if so, that's just distributing the $(x^{2}+y^{2})$ times the other stuff in parentheses.
Yes I did,

Thank you!
 

FAQ: How to Distribute in an Algebra Problem

What is algebra?

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols to solve equations and find unknown values.

Why is algebra important?

Algebra is important because it helps us solve real-world problems, understand patterns and relationships, and develop critical thinking and problem-solving skills.

What are the basic operations in algebra?

The basic operations in algebra are addition, subtraction, multiplication, and division. These operations are used to manipulate equations and solve problems.

How do I solve an algebra problem?

To solve an algebra problem, start by identifying the unknown value or variable and writing an equation that represents the problem. Then, use the rules of algebra to manipulate the equation and solve for the unknown value.

What are some common mistakes to avoid in algebra?

Some common mistakes to avoid in algebra include mixing up the order of operations, forgetting to distribute or combine like terms, and making errors in simplifying fractions or solving equations.

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