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Apply the distributive property to create an equivalent expression. -9*(5j+k)=

Apply the distributive property to create an equivalent expression.\newline−9⋅(5j+k)= -9 \cdot(5 j+k)=

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Full solution

Q. Apply the distributive property to create an equivalent expression.\newline−9⋅(5j+k)= -9 \cdot(5 j+k)=
  1. Apply Distributive Property: Apply the distributive property to −9(5j+k)-9(5j+k).\newlineDistributive property: a(b+c)=ab+aca(b+c) = ab + ac\newline−9(5j+k)=−9⋅5j+−9⋅k-9(5j+k) = -9\cdot5j + -9\cdot k
  2. Simplify Multiplication: Simplify the multiplication within the expression.\newline−9×5j=−45j-9 \times 5j = -45j\newline−9×k=−9k-9 \times k = -9k
  3. Combine Simplified Terms: Combine the simplified terms to get the final expression. \newline−45j+−9k-45j + -9k

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