Q. Find the product. Simplify your answer. 2s(2s2−2s)
Apply Distributive Property: Apply the distributive property to the expression 2s(2s2−2s). We need to distribute 2s to both 2s2 and −2s. 2s(2s2−2s)=2s(2s2)−2s(2s)
Simplify 2s(2s2): Simplify 2s(2s2).Multiply 2s and 2s2.2s(2s2)=4s3
Simplify 2s(2s): Simplify 2s(2s).Multiply 2s and 2s.2s(2s)=4s2
Combine Results: Combine the results from Step 2 and Step 3.We have:2s(2s2)=4s32s(2s)=4s2Now, subtract the second product from the first.2s(2s2−2s)=4s3−4s2
Write Final Expression: Write the final simplified expression.The simplified form of 2s(2s2−2s) is 4s3−4s2.