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#
Find the value of \(2y(x + z) + 4xz\) if x = 3, y = 5 and z = 1.

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Question:

A
52

explanation

The expression 2y(x + z) + 4xz can be simplified before we substitute the values of the variables x, y and z. We first need to multiply 2y and (x + z).

Step 1: Remove the brackets.

\(2y(x + z) + 4xz = 2xy + 2yz + 4xz\)

Step 2: Substitute the values x = 3, y = 5 and z = 1.

\(2xy + 2yz + 4xz = 2*3*5 + 2*5*1 + 4*3*1\)

Step 3: Perform the multiplication.

\(2*3*5 + 2*5*1 + 4*3*1 = 30 + 10 + 12\)

Step 4: Find the sum.

\(30 + 10 + 12 = 52\)

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