(x^2+lnx)(2+e^x)
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To multiply the expression (x^2 + ln(x))(2 + e^x), you can use the distributive property. This means that you will multiply each term in the first expression by each term in the second expression and then combine like terms.
Let's break down the process step by step:
Step 1: Multiply the first term in the first expression (x^2) by each term in the second expression (2 and e^x).
(x^2)(2) = 2x^2
(x^2)(e^x) = x^2e^x
Step 2: Multiply the second term in the first expression (ln(x)) by each term in the second expression (2 and e^x).
(ln(x))(2) = 2ln(x)
(ln(x))(e^x) = ln(x)e^x
Step 3: Combine all the terms together.
2x^2 + x^2e^x + 2ln(x) + ln(x)e^x
And that's the result of multiplying (x^2 + ln(x))(2 + e^x).