Question

2
3. What must be added to 2m² + 3m + 1 to get 5m - 2m +9?​

Answer 1

answer given in attachment

Answer 2

Given:

Two expressions:

• 2m² + 3m + 1
• 5m - 2m + 9

What To Find:

We have to find an expression that must be added to 2m² + 3m + 1 to get 5m - 2m + 9.

How To Find:

To find the expression,

• Let's take the expressions (?)
• Form the equation i.e
• (?) + (2m² + 3m + 1) = 5m - 2m + 9
• To find (?) we have to,
• (?) = (5m - 2m + 9) - (2m² + 3m + 1)

Solution:

(5m - 2m + 9) - (2m² + 3m + 1)

Remove the brackets,

⇒ 5m - 2m + 9 - 2m² + 3m + 1

Rearrange the like terms,

⇒ -2m² + 5m - 2m + 3m + 9 + 1

Solve the terms,

⇒ -2m² + 6m + 10

∴ Thus, the expression is -2m² + 6m + 10.