(x-7)(x-1/2)
what is the question?
Developed form : x^2 -1/2x -7x -7.5
: x^2 -7.5x -7.5
To simplify the expression (x-7)(x-1/2), we can use the distributive property. The distributive property states that when we multiply a number (or variable) by a sum or difference, we distribute the multiplication to each term inside the parentheses. So, let's break it down step by step:
Step 1: Multiply the first terms in each parentheses x * x, which gives us x^2.
Step 2: Multiply the first term in the first parentheses (x) by the second term in the second parentheses (-1/2), which gives us -(1/2)x.
Step 3: Multiply the second term in the first parentheses (-7) by the first term in the second parentheses (x), which gives us -7x.
Step 4: Multiply the second terms in each parentheses (-7) * (-1/2), which gives us 7/2.
Now, let's put it all together:
(x-7)(x-1/2) = x^2 - (1/2)x - 7x + 7/2
To simplify further, we can combine like terms:
(x^2 - 7x) + (-1/2)x + 7/2
Combine the x terms:
x^2 - (7 + 1/2)x + 7/2
Combine the constant terms:
x^2 - (14/2 + 1/2)x + 7/2
Simplify the constants:
x^2 - (15/2)x + 7/2
So, the simplified expression is x^2 - (15/2)x + 7/2.