Examples of subtractive in the following topics:
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- Adding and subtracting polynomials is as simple as adding and
subtracting like terms.
- It is simply carried down, with addition or subtraction applied appropriately.
- Subtract: $(5x^3 + x^2 + 9) - (4x^2 + 7x -3)$
- Remember to apply subtraction to each term in the second polynomial.
- Explain how to add and subtract polynomials and what it means to do so
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- Matrix addition, subtraction, and scalar multiplication are types of operations that can be applied to modify matrices.
- We add or subtract matrices by adding or subtracting corresponding entries.
- As you might guess, subtracting works much the same way except that you subtract instead of adding.
- Be careful when subtracting with signed numbers.
- Practice adding and subtracting matrices, as well as multiplying matrices by scalar numbers
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- Vectors may be added or subtracted graphically by laying them end to end on a set of axes.
- To subtract vectors the method is similar.
- Make sure that the first vector you draw is the one to be subtracted from.
- Then, to subtract a vector, proceed as if adding the opposite of that vector.
- This video gets viewers started with vector addition and subtraction.
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- Complex numbers can be added and subtracted by adding the real parts and imaginary parts separately.
- Complex numbers can be added and subtracted to produce other complex numbers.
- In a similar fashion, complex numbers can be subtracted.
- The key again is to combine the real parts together and the imaginary parts together, this time by subtracting them.
- Note that the same thing can be accomplished by imagining that you are distributing the subtraction sign over the sum $2+4i$ and then adding as defined above.
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- It is often simpler to add or subtract vectors by using their components.
- To subtract vectors by components, simply subtract the two horizontal components from each other and do the same for the vertical components.
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- It is represented by adding or subtracting from either y or x.
- If a positive number is subtracted, the function shifts down the $y$-axis by the amount subtracted.
- While vertical shifts are caused by adding or subtracting a value outside of the function parameters, horizontal shifts are caused by adding or subtracting a value inside the function parameters.
- Where $f(x)$ would be the original function, and $a$ is the constant being added or subtracted to cause a horizontal shift.
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- Multiplication and division are of equal precedence (tier 3), as are addition and subtraction (tier 4).
- Here we have an expression that involves subtraction, parentheses, multiplication, addition, and exponentiation.
- Similarly, as addition and subtraction are of equal precedence, we can think of subtracting a number as the same as adding the negative of that number.
- It stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
- This mnemonic makes the equivalence of multiplication and division and of addition and subtraction clear.
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- Adding and subtracting rational expressions follows all of the same rules as adding and subtracting fractions.
- Adding and subtracting fractions should be a familiar process, and we will use this concept as a lead-in to start discussing the addition and subtraction of rational expressions.
- Follow the example below to see how this applies to solving addition and subtraction problems.
- Subtracting fractions is easy when you have a common denominator!
- After that, you subtract the numerators while leaving the denominator alone, and then simplify.
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- Radicals and exponents have particular requirements for addition and subtraction while multiplication is carried out more freely.
- This is because exponentiation is a different kind of function than addition, subtraction, multiplication, and division.