(x+7)(x-2)
x²+5x-14
To expand the expression (x+7)(x-2), we can use the distributive property of multiplication over addition. This property states that:
(a + b) c = ac + bc
Using this property, we can first distribute the x to both terms within the parentheses:
x(x-2) + 7(x-2)
Then, we can simplify each of these two separate equations:
x^2 – 2x + 7x – 14
Finally, we can combine like terms to get our final answer:
x^2 + 5x – 14
Therefore, (x+7)(x-2) expands to x^2 + 5x – 14.
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