Answer:
Option (b) is correct.
The difference between two given polynomial is \(-12x^2-25x+13\)
Step-by-step explanation:
Given : Polynomial \(3 - 13x - 7x^2\) and \(5x^2+ 12x - 10\)
We have to find the difference between given two polynomial.
Consider Polynomial \(3 - 13x - 7x^2\) and \(5x^2+ 12x - 10\)
Difference is \((3 - 13x - 7x^2)-(5x^2+ 12x - 10)\)
Consider \(-\left(5x^2+12x-10\right)\)
Distribute parentheses, we have,
\(=-\left(5x^2\right)-\left(12x\right)-\left(-10\right)\)
Apply plus- minus rule,
\(-\left(-a\right)=a,\:\:\:-\left(a\right)=-a\)
\(=-5x^2-12x+10\)
\(=3-13x-7x^2-5x^2-12x+10\)
Adding similar terms (terms having same variable with same power)
We have,
\(=-12x^2-25x+13\)
Thus, the difference between two given polynomial is \(-12x^2-25x+13\)
