Question

(10 - 3x² + 4x) + (2x² - 8x - 2) : Simplify the given equation

Answer 1

$(10 - 3 {x}^{2} + 4x) + (2 {x }^{2} - 8x - 2) \\ = - 3 {x}^{2} + 4x + 10 + 2 {x}^{2} - 8x - 2 \\ = - {x}^{2} - 4x + 8 \\ = - ( {x}^{2} + 4x - 8)$

Answer 2

Answer:

$\rm (10 - 3x^2 + 4x) + (2x^2 - 8x - 2)= -1x^2-4x+8.$

Step-by-step explanation:

• Given expression = (10 - 3x² + 4x) + (2x² - 8x - 2).

Now, we know that only those coefficients will add up together whose variables are same, i.e., $\rm -3x^2$ will only add with $\rm 2x^2$ and 4x will only add with -8x and 10 will add up with -2 only as follows:

$\rm (10 - 3x^2 + 4x) + (2x^2 - 8x - 2)=(-3+2)x^2+(4+(-8))x+(10-2)\\=-1x^2-4x+8.$