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Expanding expressions (or multiplying out) is the process by which you use the distributive property to remove parentheses from an algebraic expression We can use a rectangle with side lengths (𝑥 + 2) (x + 2) and 4 to illustrate the multiplication. To do this, you need to multiply out the parentheses by multiplying everything outside of the parentheses by everything inside the parentheses.
Solved: Use the distributive property to write an equivalent expression
The distributive property states that an expression of the form a(b + c) can be solved as a × (b + c) = ab + ac 7.8.2 using the distributive property to write equivalent expressions activity applying the distributive property to multiply out the factors of, or expand, 4 (𝑥 + 2) 4 (x + 2) gives us 4 𝑥 + 8 4 x + 8, so we know the two expressions are equivalent Learn distributive property, types, examples & more!
The distributive property calculator expands algebraic expressions instantly
Thus, for expanding, we multiply its factors and combine the like terms, resulting in a new polynomial with more terms The process often involves using the distributive property of multiplication over addition, combining like terms, or applying algebraic identities The general expanded form of a polynomial is: About the distributive property calculator the tool parses your input, normalizes it to standard form, and applies distributive steps systematically
When expanding, it multiplies each term in a parenthesis by the outside factor, accumulates results, and merges like terms. Write equivalent expressions using the distributive property Change from factored form to expanded form of an expression Examples and step by step solutions, grade 5, 5th grade, grade 6, 6th grade.
Study with quizlet and memorize flashcards containing terms like expanded form with 4 as the repeated factor, factored form with 4 as the common factor, expanded form with 3 as the repeated factor and more.
What is the distributive property Find out by exploring this lesson and using our distributive property calculator to expand and factor expressions.
