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Simplify the Expression

Simplify the Expression-example-1
User Kwishnu
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1 Answer

6 votes

Answer:


\sf 8a^3b^3

Explanation:

Given expression:


\sf (2a^2b)(4ab^2)

In order to simplify the expression, we can use the distributive property of multiplication to combine like terms:


\sf (2a^2b)(4ab^2) = 2 \cdot 4 \cdot a^2 \cdot a \cdot b \cdot b^2

Now, perform the multiplications:


\sf 2 \cdot 4 = 8


\sf a^2 \cdot a = a^(2+1) = a^3


\sf b \cdot b^2 = b^(1+2) = b^3

So, the simplified expression is:


\sf 8a^3b^3

Therefore,


\sf (2a^2b)(4ab^2) \textsf{ simplifies to } 8a^3b^3

User Sherida
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