QuestionFind the product Simplify your answer. $2 j^{j}(-4 j-4 j+3)$

Studdy Solution

STEP 1

1. The expression involves a product of a term with an exponent and a polynomial.
2. The expression inside the parentheses can be simplified before multiplying.
3. Simplification involves combining like terms and distributing the multiplication.

STEP 2

1. Simplify the expression inside the parentheses.
2. Distribute the multiplication across the simplified polynomial.

STEP 3

Simplify the expression inside the parentheses $(-4j - 4j + 3)$ .
Combine the like terms $-4j$ and $-4j$ :
$-4j - 4j = -8j$
Thus, the expression inside the parentheses simplifies to:
$-8j + 3$

STEP 4

Distribute the multiplication of $2j^j$ across the simplified polynomial $(-8j + 3)$ .
First, multiply $2j^j$ by $-8j$ :
$2j^j \times (-8j) = -16j^{j+1}$
Next, multiply $2j^j$ by $3$ :
$2j^j \times 3 = 6j^j$
Combine the results:
$-16j^{j+1} + 6j^j$
The simplified product is:
$\boxed{-16j^{j+1} + 6j^j}$

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