Evaluate :
`(2x - 5y)(2x+ 3y)` for x = 2 and y = 3.

Answer

To evaluate the expression \((2x - 5y)(2x + 3y)\) for \(x = 2\) and \(y = 3\), we can follow these steps:

### Step 1: Substitute the values of \(x\) and \(y\)
We start by substituting \(x = 2\) and \(y = 3\) into the expression:
\[ (2(2) - 5(3))(2(2) + 3(3)) \]

### Step 2: Calculate the values inside the parentheses
Now, we calculate each part:
1. For the first part:
\[ 2(2) - 5(3) = 4 - 15 = -11 \]
2. For the second part:
\[ 2(2) + 3(3) = 4 + 9 = 13 \]

### Step 3: Multiply the results from Step 2
Now, we multiply the results from the two parts:
\[ (-11)(13) = -143 \]

### Final Answer
Thus, the value of \((2x - 5y)(2x + 3y)\) for \(x = 2\) and \(y = 3\) is \(-143\).

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