Multiply.

(x-3)(x-8) =

Multiply the first terms: x × x = x 2 .
Multiply the outer terms: x × − 8 = − 8 x .
Multiply the inner terms: − 3 × x = − 3 x .
Multiply the last terms: − 3 × − 8 = 24 .
Combine like terms and write the final expression: x 2 − 11 x + 24 ​ .

Explanation

Understanding the Problem We need to multiply two binomials: ( x − 3 ) and ( x − 8 ) . We will use the distributive property (also known as the FOIL method) to find the product.

Multiplying First Terms First, multiply the first terms of each binomial: x × x = x 2 .

Multiplying Outer Terms Next, multiply the outer terms: x × − 8 = − 8 x .

Multiplying Inner Terms Then, multiply the inner terms: − 3 × x = − 3 x .

Multiplying Last Terms Finally, multiply the last terms: − 3 × − 8 = 24 .

Combining Like Terms Now, combine the like terms: − 8 x − 3 x = − 11 x .

Final Expression Write the final expression by combining all the terms we found: x 2 − 11 x + 24 . Therefore, ( x − 3 ) ( x − 8 ) = x 2 − 11 x + 24 .


Examples
Understanding how to multiply binomials is crucial in various real-life scenarios. For instance, when planning a garden, you might want to calculate the area of a rectangular plot. If the length is (x - 3) meters and the width is (x - 8) meters, multiplying these binomials gives you the total area in terms of x. This algebraic skill helps in optimizing space and resources in practical projects.

Answered by GinnyAnswer | 2025-07-07

To multiply the binomials (x-3) and (x-8), we apply the distributive property. The resulting expression is x² - 11x + 24. This process involves multiplying corresponding terms and combining like terms.
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Answered by Anonymous | 2025-07-19