5. [-/1 Points] DETAILS SALGTRIG4 0.5.093.MI. Beginning algebra students sometimes make the following error when squaring a binomial: $(x + 10)^2 = x^2 + 100$. (a) Substitute the value $x = 2$ to verify that this is an error. The left hand side evaluates to The right hand side evaluates to (b) What is the correct expansion for $(x + 10)^2$? Need Help? Read It Watch It Master It MY NOTES
Added by Maria H.
Close
Step 1
In this case, a = x and b = 10. So, we have: (x+10)^2 = x^2 + 2(x)(10) + 10^2 Simplifying further: (x+10)^2 = x^2 + 20x + 100 Show more…
Show all steps
Your feedback will help us improve your experience
Nicole Hoffman and 69 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Beginning algebra students sometimes 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 $(x+5)^{2} ?$
Prerequisites
Algebraic Expressions
DISCUSS: An Algebra Error Beginning algebra students sometimes 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 $(x+5)^{2} ?$
An Algebra Error Beginning algebra students sometimes 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 $(x+5)^{2} ?$
Roger S.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD