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Answer :
To multiply the terms [tex]\(4.5x\)[/tex] and [tex]\(3x\)[/tex] together, follow these steps:
1. Multiply the coefficients: Take the numerical parts (coefficients) of each term and multiply them together. In this case, multiply [tex]\(4.5\)[/tex] and [tex]\(3\)[/tex].
[tex]\[
4.5 \times 3 = 13.5
\][/tex]
2. Add the exponents of [tex]\(x\)[/tex]: Each term has a variable [tex]\(x\)[/tex] with an implicit exponent of 1. When multiplying terms with the same base, you add their exponents. So, add the exponents of [tex]\(x\)[/tex]:
[tex]\[
1 + 1 = 2
\][/tex]
3. Combine the results: Combine the product of the coefficients and the sum of the exponents to form the final term. This gives you:
[tex]\[
13.5x^2
\][/tex]
Thus, the result of multiplying [tex]\(4.5x\)[/tex] and [tex]\(3x\)[/tex] together is [tex]\(13.5x^2\)[/tex].
1. Multiply the coefficients: Take the numerical parts (coefficients) of each term and multiply them together. In this case, multiply [tex]\(4.5\)[/tex] and [tex]\(3\)[/tex].
[tex]\[
4.5 \times 3 = 13.5
\][/tex]
2. Add the exponents of [tex]\(x\)[/tex]: Each term has a variable [tex]\(x\)[/tex] with an implicit exponent of 1. When multiplying terms with the same base, you add their exponents. So, add the exponents of [tex]\(x\)[/tex]:
[tex]\[
1 + 1 = 2
\][/tex]
3. Combine the results: Combine the product of the coefficients and the sum of the exponents to form the final term. This gives you:
[tex]\[
13.5x^2
\][/tex]
Thus, the result of multiplying [tex]\(4.5x\)[/tex] and [tex]\(3x\)[/tex] together is [tex]\(13.5x^2\)[/tex].
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