Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Factor completely, then place the factors in the proper location on the grid.



2a^2 + 2b^2 - 5ab

Answer 1

The factor of the algebraic expression 2a² + 2b² - 5ab is 2((a + b)² - 4.5ab)

How to factor the algebraic expression

From the question, we have the following parameters that can be used in our computation:

2a² + 2b² - 5ab

We can start by factoring out a 2:

2a² + 2b² - 5ab = 2(a² + b² - 2.5ab)

Also, we have

a² - b² = (a + b)(a - b)

This gives

(a + b)² = a² + 2ab + b²

This gives

a² + b² = (a + b)² - 2ab

So, we have

2a² + 2b² - 5ab = 2((a + b)² - 2ab - 2.5ab)

Evaluate

2a² + 2b² - 5ab = 2((a + b)² - 4.5ab)

Hence, the factor of the algebraic expression is 2((a + b)² - 4.5ab)