(x+7)(x-4)
To simplify the expression (x+7)(x-4), we can use the distributive property of multiplication
To simplify the expression (x+7)(x-4), we can use the distributive property of multiplication. This property states that for any real numbers a, b, and c, a(b + c) = ab + ac.
Therefore, using this property, we can multiply each term in the first parentheses by each term in the second parentheses:
(x+7)(x-4) = x(x-4) + 7(x-4)
Now, we can simplify each term:
x(x-4) = x^2 – 4x
7(x-4) = 7x – 28
Adding these simplified terms together, we have:
(x+7)(x-4) = x^2 – 4x + 7x – 28
Combining like terms:
(x+7)(x-4) = x^2 + 3x – 28
So, the simplified expression is x^2 + 3x – 28.
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