Multiply. 3x(3x^(2)+6) Answer:

Distribute Monomial: To multiply a monomial by a polynomial, we distribute the monomial to each term of the polynomial. We are multiplying 3x by each term in the polynomial 3x^2 + 6. Calculation: 3x * 3x^2 + 3x * 6Multiply Terms: For the first term, we multiply the coefficients (3 and 3) and add the exponents of x (1 and 2) according to the laws of exponents. Calculation: 3 * 3 = 9 and x^1 * x^2 = x^(1+2) = x^3Combine Results: For the second term, we multiply the coefficient of x (3) by the constant term (6). Calculation: 3 * 6 = 18Combine the results from the previous steps to get the final answer. Calculation: 9x^3 + 18x

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Multiply. $\newline$ $3 x\left(3 x^{2}+6\right)$ $\newline$ Answer:

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply.

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3 x\left(3 x^{2}+6\right)

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Answer:

Distribute Monomial: To multiply a monomial by a polynomial, we distribute the monomial to each term of the polynomial. We are multiplying $3x$ by each term in the polynomial $3x^2 + 6$ . $\newline$ Calculation: $3x \times 3x^2 + 3x \times 6$
Multiply Terms: For the first term, we multiply the coefficients $3$ and $3$ and add the exponents of $x$ $1$ and $2$ according to the laws of exponents. $\newline$ Calculation: $3 \times 3 = 9$ and $x^1 \times x^2 = x^{(1+2)} = x^3$
Combine Results: For the second term, we multiply the coefficient of $x$ ( $3$ ) by the constant term ( $6$ ). $\newline$ Calculation: $3 \times 6 = 18$
Combine Results: For the second term, we multiply the coefficient of $x$ ( $3$ ) by the constant term ( $6$ ). $\newline$ Calculation: $3 \times 6 = 18$ Combine the results from the previous steps to get the final answer. $\newline$ Calculation: $9x^3 + 18x$