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DISCUSS: An Algebra Error Beginning algebra studentssometimes make the following error when squaring a binomial:$$(x+5)^{2}=x^{2}+25$$(a) Substitute a value for $x$ to verify that this is an error.(b) What is the correct expansion for $(x+5)^{2} ?$

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Algebra

Chapter 0

Prerequisites

Section 5

Algebraic Expressions

Equations and Inequalities

Missouri State University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:46

An Algebra Error Beginning…

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Describe the error.

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Find the error in each, an…

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Explain the error in the f…

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pillow. Beginning algebra, students sometimes make the following error when square, they square the first term, then square the second term and just atoms together. However, they miss an important step called boiling, which I will show you in part B. But first, let's substitute a value in for X to verify the year. So let's say X equals one. So one plus far parentheses squared and one squared plus 25 one plus five equals six squared and one squared. It was one less 25. Six squared equals 36 in one place, 25 equals. No. 36 is not equal 26. So that shows that this myth that is incorrect. Part B We were correctly expand using the boiling method. So falling means first outer inner. Unless so, we have explicit fun Times X plus five. So do the first terms, which will be X and X x times x X squared noted outside time. So EXT. Time Spy, which is five X and the road positive. So plus, now you do the inside terms, except by I want to be five x also in night of the last times five times, but which equals 25. And lastly, you combine like terms. So you look at matching degrees and the only ones here is this. Five X In this five picks and five plus five equals 10. They have X squared those tunics close to 25 in the agency.

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