How to solve (x - 3) * (x - 6)
To solve the expression (x - 3) * (x - 6), you can use the FOIL method, which stands for First, Outer, Inner, Last.
First, multiply the first terms of each binomial:
x * x = x^2
Outer, multiply the outer terms of each binomial:
x * -6 = -6x
Inner, multiply the inner terms of each binomial:
-3 * x = -3x
Last, multiply the last terms of each binomial:
-3 * -6 = 18
Now, add all the products together:
x^2 - 6x - 3x + 18
Simplify by combining like terms:
x^2 - 9x + 18
Therefore, the solution to (x - 3) * (x - 6) is x^2 - 9x + 18.
To solve the expression (x - 3) * (x - 6), we can use the distributive property of multiplication over addition/subtraction. Let's go through the steps:
Step 1: Expand the expression
By applying the distributive property, we multiply each term in the first parentheses with each term in the second parentheses:
(x - 3) * (x - 6) = x * (x - 6) - 3 * (x - 6)
Step 2: Simplify the expression
Now, simplify each term:
x * (x - 6) = x^2 - 6x
-3 * (x - 6) = -3x + 18
Combining both terms, we get:
(x - 3) * (x - 6) = x^2 - 6x - 3x + 18
Step 3: Combine like terms
Lastly, combine the like terms to get the final simplified expression:
x^2 - 6x - 3x + 18 = x^2 - 9x + 18
Therefore, the expanded form of (x - 3) * (x - 6) is x^2 - 9x + 18.
To solve the expression (x - 3) * (x - 6), you can use the distributive property of multiplication over addition/subtraction. Here are the steps:
Step 1: Expand the expression:
(x - 3) * (x - 6)
= x * (x - 6) - 3 * (x - 6)
Step 2: Apply the distributive property:
= (x * x - 6 * x) - (3 * x - 3 * 6)
Step 3: Simplify further:
= (x^2 - 6x) - (3x - 18)
Step 4: Simplify the resulting expression:
= x^2 - 6x - 3x + 18
Step 5: Combine like terms:
= x^2 - 9x + 18
So, the solution to (x - 3) * (x - 6) is x^2 - 9x + 18.