Question

Which of the following is equivalent to the expression below?

2√5 - 4x√5 - x√5
A. 2√5-5x√5
B. -3√5
c. -3x√5
D. 2√5-4x²√5

Answer 1

To simplify the expression, combine like terms -4x√5 and -x√5 to get -5x√5. The expression is then simplified to -3x√5.

Step-by-step explanation:

To simplify the expression, start by combining like terms. In this case, -4x√5 and -x√5 are like terms because they both have a coefficient of √5. So, adding them together gives -5x√5.

Now, we have 2√5 - 5x√5. Since both terms have √5 as a factor, we can factor it out, yielding (√5)(2-5x).

Therefore, the expression 2√5 - 4x√5 - x√5 is equivalent to -3x√5 (option C).

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