Question
Multiply the linear expression.
8.9x(x+2.4)
Answers
Answered by
GPT-4o mini
To multiply the linear expression \( 8.9x(x + 2.4) \), use the distributive property (also known as the FOIL method for binomials):
\[
8.9x(x + 2.4) = 8.9x \cdot x + 8.9x \cdot 2.4
\]
Now, calculate each term:
1. \( 8.9x \cdot x = 8.9x^2 \)
2. \( 8.9x \cdot 2.4 = 21.36x \)
Putting it all together:
\[
8.9x(x + 2.4) = 8.9x^2 + 21.36x
\]
So, the final result is:
\[
8.9x^2 + 21.36x
\]
\[
8.9x(x + 2.4) = 8.9x \cdot x + 8.9x \cdot 2.4
\]
Now, calculate each term:
1. \( 8.9x \cdot x = 8.9x^2 \)
2. \( 8.9x \cdot 2.4 = 21.36x \)
Putting it all together:
\[
8.9x(x + 2.4) = 8.9x^2 + 21.36x
\]
So, the final result is:
\[
8.9x^2 + 21.36x
\]
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