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question multiply: $9x(6x^2 + 4)$ answer attempt 1 out of 2

Question

question
multiply:
$9x(6x^2 + 4)$
answer attempt 1 out of 2

Explanation:

Step1: Apply distributive property

Using the distributive property \(a(b + c)=ab+ac\), where \(a = 9x\), \(b=6x^{2}\), and \(c = 4\), we get:
\(9x\times6x^{2}+9x\times4\)

Step2: Multiply the coefficients and variables

For the first term, multiply the coefficients \(9\times6 = 54\) and the variables \(x\times x^{2}=x^{1 + 2}=x^{3}\) (using the rule \(x^{m}\times x^{n}=x^{m + n}\)). For the second term, multiply \(9\times4 = 36\) and keep the variable \(x\). So we have:
\(54x^{3}+36x\)

Answer:

\(54x^{3}+36x\)