Math

QuestionUse the distributive property to simplify: 6(6uv+4)-6(-6u - v + 4).

Studdy Solution

STEP 1

Assumptions1. The expression is 6(6uv+4)-6(-6u - v +4). We need to use the distributive property to remove the parentheses. The distributive property states that for all real numbers a, b, and c a(b+c)=ab+aca(b + c) = ab + ac and a(bc)=abaca(b - c) = ab - ac.

STEP 2

We can apply the distributive property to the expression. This means we multiply 6-6 by each term inside the parentheses.
6(6uv+4)=66u+6v+64-6(-6u - v +4) = -6 \cdot -6u + -6 \cdot -v + -6 \cdot4

STEP 3

Now, we can perform the multiplication for each term.
66u=36u-6 \cdot -6u =36u6v=6v-6 \cdot -v =6v6=24-6 \cdot = -24

STEP 4

Finally, we combine these results to get the final expression.
6(6uv+4)=36u+6v24-6(-6u - v +4) =36u +6v -24So, the expression 6(6uv+4)-6(-6u - v +4) simplifies to 36u+6v2436u +6v -24 using the distributive property.

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