(x^2 + 43x + 10) - (-10x^2 - 5x + 10) = 11x^2 + 48x
Given polynomial (x^2 + 43x + 10) and (-10x^2 - 5x + 10)
We have to subtract the given polynomials.
Consider (x^2 + 43x + 10) and (-10x^2 - 5x + 10)
Subtract (1) - (2) , we have,
(x^2 + 43 + 10) - (-10x^2 - 5x + 10)
- rewrite by applying plus-minus rule -(-a) = a , we have,
x^2 + 43x + 10 + 10x^2 - 5x + 10
- Grouping like terms, (like term are terms with same variable having same degree)
x^2 + 10x^2 + 48x + 5x + 10 - 10
Add similar elements : 43x + 5x = 48x
= x^2 + 10x^2 + 48x + 10 - 10
Add similar elements : x^2 + 10x^2 = 11x^2
= 11x^2 + 48x + 10 - 10
Solving , we get,
= 11x^2 + 48x
Thus, (x^2 + 43 + 10) - (-10x^2 - 5x + 10) = 11x^2 + 48x
