Expand & Simplify: (3x-5)^2+(x-4)^2-10(x+4)(x-1)

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In summary, the conversation is about someone seeking help with a math question involving expanding and simplifying an equation. They have tried multiple times and gotten different answers, but are struggling with the signs and terms. The expert summarizer points out the errors made in the person's work and highlights the importance of showing their work in order to receive accurate help.
  • #1
Stacyg
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Hi.
I have done this question multiple times and come up with a different answer each time.

Q. 1.) Expand and simplify
(3x-5)^2+(x-4)^2-10(x+4)(x-1)

So far I've gotten

= -72x +1
= 1 - 72x

And some others. Any help would be great.
 
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  • #2
Please show us your work, for example, what did you get for the expansion of each term?
 
  • #3
okay. I end up with 10x^2 - 22x +41- 10x^2-10x-40x-40 taking everything out of the brackets.
 
  • #4
That -22x is probably the result of the x terms in (3x-5)^2+(x-4)^2 but you made a sign error.
there is also a sign error in -10x-40x and in -40
 

FAQ: Expand & Simplify: (3x-5)^2+(x-4)^2-10(x+4)(x-1)

What is the purpose of expanding and simplifying an expression?

Expanding and simplifying an expression involves multiplying out and combining like terms to create a simpler, equivalent expression. This can help make the expression easier to work with and understand.

How do you expand and simplify an expression?

To expand and simplify an expression, you need to use the distributive property and FOIL method. This involves multiplying each term in the first set of parentheses by each term in the second set of parentheses, and then combining like terms.

What are the steps for expanding and simplifying (3x-5)^2?

The steps for expanding and simplifying (3x-5)^2 are:1. Square the first term: (3x)^2 = 9x^22. Multiply the first and second terms by 2: 2(3x)(-5) = -30x3. Square the second term: (-5)^2 = 254. Combine the terms: 9x^2 - 30x + 25

How do you handle negative signs when expanding and simplifying?

When expanding and simplifying, you can use the negative sign to distribute or combine terms. For example, (-3x)^2 = (-3x)(-3x) = 9x^2. And (-3x+5)(2x-4) = -6x^2 + 22x - 20.

Why is it important to check your work when expanding and simplifying?

It is important to check your work when expanding and simplifying because it is easy to make mistakes when dealing with multiple terms and operations. Checking your work can help catch any errors and ensure that the final expression is correct.

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