(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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