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Chapter 4: Problem 67

Perform the operation. Subtract \((2 x+5 y)\) from \((5 x-8 y)\)

Short Answer

Expert verified
The result of the operation is \(3 x - 13 y\)

Step by step solution

01

Start the operation

Given the expressions \((5 x - 8 y)\) and \((2 x + 5 y)\), it is asked to subtract the latter from the former. That is, calculate \((5 x - 8 y) - (2 x + 5 y)\)
02

Apply the distributive property

Apply the distributive property of multiplication over addition to the second parentheses to correctly subtract each term, that is, \((5 x - 8 y) - 2 x - 5 y\)
03

Combine like terms

Combine the terms with the same variables to simplify, result in \(5 x - 2 x - 8 y - 5 y, which simplifies to 3 x - 13 y\).

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Most popular questions from this chapter

Perform each division. If there is a remainder, leave the answer in quotient \(+\frac{\text { remainder }}{\text { divisor }}\) form. Assume no division by \(0 .\) $$\frac{x^{3}+6 x^{2}+12 x+8}{x+2}$$

A student incorrectly attempts to simplify the fraction \(\frac{3 x+5}{x+5}\) as follows: How would you explain the error?

Classify each polynomial as a monomial, a binomial, a trinomial, or none of these. $$12 x^{3}-12 x^{2}+36 x-3$$

Simplify. $$2\left(x^{2}-5 x-4\right)-3\left(x^{2}-5 x-4\right)+6\left(x^{2}-5 x-4\right)$$

Give an example of a polynomial that is \(\ldots\) a binomial
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