Question

From delta math: Subtract -2x^2 + 3x - 9 from 8x^2 + 10x - 10

Answer 1

Answer:

$10x^2 + 7x - 1$

Step-by-step explanation:

Step 1: Build the expression in numerical form.

• $(8x^2 +10x - 10) - (-2x^2 + 3x - 9)$

Step 2: Distribute the negative sign.

• $8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)$
• $8x^2 + 10x - 10 + 2x^2 + (-3x) + 9$  

Step 3: Combine like terms.

• $(8x^2 +2x^2) + (10x -3x) + (-10+9)$
• $10x^2 +7x -1$

Therefore, the answer is $10x^2 + 7x -1$.