Mastering the Distributive Law: How to Simplify (x-6)(x-3) Using Simple Math Techniques

(x-6)(x-3)

x²-9x+18

To expand the expression (x-6)(x-3), we need to use the distributive law.

First, let’s multiply x by each term in the second parentheses:

x(x-3) = x^2 – 3x

Next, let’s multiply -6 by each term in the second parentheses:

-6(x-3) = -6x + 18

Now, we can combine these two products by adding them together:

(x-6)(x-3) = x^2 – 3x – 6x + 18

Finally, we can simplify by combining like terms to get the final answer:

(x-6)(x-3) = x^2 – 9x + 18

More Answers:
Learn How to Expand and Simplify a Binomial Using the FOIL Method: A Math Tutorial
Master the distributive property of multiplication in simplifying (2x + 1)(x – 1) expression
Learn How to Expand Equations using FOIL Method: (x+7)(x-2) Example

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