Question

1. $2x^2 + 5y^2 - 4x^2y$ when $x = 2$ and $y = 3$

Explanation:

Step1: Substitute x = 2 and y = 3 into the expression

First, calculate each term separately. For the term \(2x^2\), substitute \(x = 2\): \(2\times(2)^2 = 2\times4 = 8\). For the term \(5y^2\), substitute \(y = 3\): \(5\times(3)^2 = 5\times9 = 45\). For the term \(-4x^2y\), substitute \(x = 2\) and \(y = 3\): \(-4\times(2)^2\times3 = -4\times4\times3 = -48\).

Step2: Combine the results of each term

Now, add and subtract the results from Step 1: \(8 + 45 - 48\). First, \(8 + 45 = 53\), then \(53 - 48 = 5\).

Answer:

5