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Hello: X-2|-|2x-6|
x 3 Original=x-2-2x+6=-x+42 x<3 Original=x-2-6+2x=3x-8x<2 Original=2-x-6+2x=x-4If you don't understand anything, you can ask, if you are satisfied, click "Choose as satisfactory answer".
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If x 3, |x-2|-|2x-6|=x-2-2x+6=4-x;If 3 x 2, |x-2|-|2x-6|=x-2+2x-6=3x-8;If x 3, |x-2|-|2x-6|=-x+2+2x-6=-4+x
If x 8, ||x-2|-6|=|x-2-6|=x-8;If 8 x 2, ||x-2|-6|=|x-2-6|=8-x;If -4 x 2, ||x-2|-6|=|-x+2-6|=x+4;If x -4 then ||x-2|-6|=|-x+2-6|=-x-4;
If x 2 then ||x-2|+6|=|x-2+6|=x+4;If x 2 then ||x-2|+6|=|-x+2+6|=8-x;
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Considered in three paragraphs:
x+6|-|x-2|=
x+6-(x-2)=8,x empty standby nuclear bucket digging 2;
x+6+x-2=2x+4,-6-(x+6)+x-2=-8,x≤-6.
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First, let's talk about the range of x values.
1:)x is less than 2, then the hole is 2-x+(6-x)=8-2x2)x is greater than or equal to 2, and the twig is hungry or equal to 6, then x-2+(6-x)=2x+43)x is greater than 6, then it is (x-2)+(x-6)=2x-8
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Hello, the simplification process of this problem is: perfect square, and then merge similar terms. Original = 4x +4x+1-6x = 4x -2x+1.
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Original x 2 x-3 2x-6
4x-7 This is to bracket the rotten brother number, the parentheses are before yes, after removing the brackets of the calendar line, the symbol in the brackets does not change.
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First remove the brackets, add and subtract letters from letter to letter, and add and subtract numbers from number to get 4x-7
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Summary. Simplify|2x-3|-|6-2x|
No**. Is this equation equal to 0 or is it directly simplified.
Straightforward simplification. That is, the absolute value is equal to 0
And then there's an x range.
Then according to the range of x.
Go to the absolute value. If you really don't understand, you can take a value, such as taking 1 or 4 classmates, and if you don't understand, you can ask the teacher.
Thank you. Classmates, you can also follow the teacher.
If you don't understand anything in the future, you can also ask the teacher.
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Summary. You just need to add up the multiplier of x to get the answer: 7x+2.
x+2)+6x.
You just need to add up the multiplier of x to get the answer: 7x+2.
Summary of mathematical problem solving methods: 1. Direct method: according to the question setting conditions of multiple-choice questions, through calculation, reasoning or judgment, and finally get what the question wants.
2. Special value method: (special value elimination method) Some multiple-choice questions involve mathematical propositions related to the value range of letters; When solving this kind of multiple-choice question, macro shooting can consider selecting a few special values from the range of values, substituting the original proposition for verification, and then eliminating the wrong ones and retaining the correct ones. 3. Taokai re-elimination method:
Verify the four conclusions given by the question one by one back to the original question stem, and eliminate the mistakes until the correct answer is found. 4. Phase-out method: If we do not do it in one step in the process of calculation or derivation, but step by step, we adopt the strategy of "take a walk and take a look"; Each step is compared with the four conclusions, and the impossible is eliminated, so that the three wrong conclusions are all eliminated if the last step is not taken.
5. Combination of numbers and shapes: according to the internal relationship between the conditions and conclusions of mathematical problems, it not only analyzes its algebraic meaning, but also reveals its geometric meaning; Combine quantitative relations and graphs in a clever and harmonious way, and make full use of this combination to seek solutions to problems and solve problems.
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This question is an algebraic simplification, and the specific steps are as follows:
4x^2+4x+1-6x
4x^2+4x-6x+1
4x^2-2x+1
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Hello, the simplification process of this problem is: perfect square, and then merge similar terms. Original = 4x +4x+1-6x = 4x -2x+1.
x squared + x + 1 4- 9-6x + x squared.
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