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How do you multiply the expression #(x + 5)(x - 2)#?

Answer 1

See the entire solution process below:

You multiply each term in the left parenthesis by each term in the right parenthesis to get the product of these two terms.

#(color(red)(x) + color(red)(5))(color(blue)(x) - color(blue)(2))# becomes:

#(color(red)(x) xx color(blue)(x)) - (color(red)(x) xx color(blue)(2)) + (color(red)(5) xx color(blue)(x)) - (color(red)(5) xx color(blue)(2))#

#x^2 - 2x + 5x - 10#

Now, we can mix similar terms:

#x^2 + (-2 + 5)x - 10#

#x^2 + 3x - 10#

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Answer 2

Isaiah Anthony

To multiply the expression (x + 5)(x - 2), you can use the distributive property or the FOIL method. Using the distributive property, you would distribute each term in the first expression (x + 5) to each term in the second expression (x - 2) and then combine like terms. Using the FOIL method, you would multiply the First terms, Outer terms, Inner terms, and Last terms, and then combine like terms. Either method will yield the same result.

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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.