Question

From the sum of 6a²- 4a+3 and -9a²+6a+7.Subtract a²+8a-5
(STEP BY STEP)​

Answer 1

Given:

• First expression = 6a² - 4a + 3
• Second expression = -9a² + 6a + 7
• Third expression = a² + 8a - 5

What To Find:

We have to find the sum of first and second expression and subtract the third expressions.

Solution:

• Adding the two expressions

(6a² - 4a + 3) + (-9a² + 6a + 7)

Remove the brackets,

⇒ 6a² - 4a + 3 - 9a² + 6a + 7

Rearrange the like terms,

⇒ 6a² - 9a² - 4a + 6a + 3 + 7

Solve the like terms,

⇒ -3a² + 2a + 10

• Finding the difference

(-3a² + 2a + 10) - (a² + 8a - 5)

Remove the brackets,

⇒ -3a² + 2a + 10 - a² - 8a - 5

Rearrange the like terms,

⇒ -3a² - a² + 2a - 8a + 10 - 5

Solve the like terms,

⇒ -4a² - 6a + 5

∴ Thus the difference is -4a² - 6a + 5.