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How do you find the LCD of 12x , 40y?

Answer 1

Nathan Axel

See a solution process below:

We can rewrite #12x# as #color(red)(4) xx 3x#

We can write #40y# as #color(red)(4) xx 10y#

To find the LCD multiply the common factor in each term by the factors that are not common for both terms:

LCD #= color(red)(4) xx 3x + 10y = 120xy#

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Answer 2

Isaiah Anthony

To find the least common denominator (LCD) of 12x and 40y, we need to determine the smallest expression that both 12x and 40y can divide evenly into.

First, we factorize 12x and 40y: 12x = 2 * 2 * 3 * x 40y = 2 * 2 * 2 * 5 * y

Next, we identify the common factors between the two expressions: Common factors: 2 * 2

Finally, we multiply the common factors with the remaining factors from each expression: LCD = 2 * 2 * 3 * 5 * x * y

Therefore, the LCD of 12x and 40y is 60xy.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.