Simplifying the Expression (x+7)(x-2) using the Distributive Property

(x+7)(x-2)

To multiply the expression (x+7)(x-2), we can use the distributive property and multiply each term of the first expression with each term of the second expression

To multiply the expression (x+7)(x-2), we can use the distributive property and multiply each term of the first expression with each term of the second expression.

First, let’s multiply the x term in the first expression (x+7) with both terms in the second expression (x-2):

x * x = x^2
x * (-2) = -2x

Next, let’s multiply the 7 term in the first expression (x+7) with both terms in the second expression (x-2):

7 * x = 7x
7 * (-2) = -14

Now, let’s combine the like terms:

(x^2) + (-2x) + (7x) + (-14)

To simplify further, we can combine the like terms -2x and 7x:

(x^2 + 5x) + (-14)

So, the final simplified expression is:

x^2 + 5x – 14

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