Question

What should be added to
${6a }^{2} + 7ab + {3b}^{2} \: to \: get \: {3a}^{2} + 5ab + {2b}^{2}$
​

Answer 1

Given:

• 6a² + 7ab + 3b²
• 3a² + 5ab + 2b²

What To Do:

We have to find the expression that should be added to 6a² + 7ab + 3b² to get 3a² + 5ab + 2b².

How To Do:

To find the expression, we will have to subtract  6a² + 7ab + 3b² from 3a² + 5ab + 2b².

Solution:

(3a² + 5ab + 2b²) - (6a² + 7ab + 3b²)

Remove the brackets,

⇒ 3a² + 5ab + 2b² - 6a² - 7ab - 3b²

Rearrange the like terms,

⇒ 3a² - 6a² + 2b² - 3b² + 5ab - 7ab

Solve the terms,

⇒ -3a² - b² - 2ab

∴ Hence, -3a² - b² - 2ab should be added to 6a² + 7ab + 3b² to get 3a² + 5ab + 2b².

Answer 2

Answer:

6 a square + 7 ab plus 3b square Hope you like it ✌