Simplifying the expression (x+5)(x-2) using the distributive property

(x+5)(x-2)

To simplify the expression (x+5)(x-2), we can use the distributive property of multiplication over addition/subtraction

To simplify the expression (x+5)(x-2), we can use the distributive property of multiplication over addition/subtraction.

First, let’s apply the distributive property to the terms inside the parentheses.

(x+5)(x-2) = x(x-2) + 5(x-2)

Now, we multiply each term separately.

x(x-2) = x^2 – 2x
5(x-2) = 5x – 10

Finally, we combine the like terms.

x^2 – 2x + 5x – 10

Simplifying further,

x^2 + 3x – 10

So, (x+5)(x-2) simplifies to x^2 + 3x – 10.

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