Question

(9w^2+7w-2)+(8w^2-8w-7)-(-5w^2+5w+4)

Answer 1

22w² - 6w - 13

Explanation:

Given expression: (9w² + 7w - 2) + (8w² - 8w - 7) - (-5w² + 5w + 4)

Step-1: Open the parenthesis

• ⇒ (9w² + 7w - 2) + (8w² - 8w - 7) - (-5w² + 5w + 4)
• ⇒ 9w² + 7w - 2 + 8w² - 8w - 7 + 5w² - 5w - 4

Step-2: Combine like terms

• ⇒ 9w² + 7w - 2 + 8w² - 8w - 7 + 5w² - 5w - 4
• ⇒ w²(9 + 8 + 5) + w(7 - 8 - 5) + (-2 - 7 - 4)

Step-3: Simplify the expression

• ⇒ w²(9 + 8 + 5) + w(7 - 8 - 5) + (-2 - 7 - 4)
• ⇒ w²(22) + w(-6) + (-13)
• ⇒ 22w² - 6w - 13

Therefore, the simplified expression is 22w² - 6w - 13.

Answer 2

Explanation:

Our expression;

`(9w^2+7w-2)+(8w^2-8w-7)-(-5w^2+5w+4)`

Also represented as after using the distributive property;

`9w^2+7w-2+8w^2-8w-7+5w^2-5w-4`

Simplify;

`9w^2+7w-2+8w^2-8w-7+5w^2-5w-4`

`22w^2+7w-2-8w-7-5w-4`

`22w^2-6w-2-7-4`

`22w^2-6w-13`