Subtract: (2x2 − 7x 5) − (−6x2 − 4x − 2) −4x2 − 11x 3 −4x2 − 3x 3 8x2 − 13x 7 8x2 − 3x 7
Answer: The correct option is
(D) \(8x^2-3x+7.\)
Step-by-step explanation: We are given to subtract the following two quadratic expressions :
\(S=(2x^2-7x+5)-(-6x^2-4x-2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
To subtract the given expressions, we should subtract the coefficients of the same powers of unknown variable x.
The subtraction (i) is as follows :
\(S\\\\=(2x^2-7x+5)-(-6x^2-4x-2)\\\\=2x^2-7x+5+6x^2+4x+2\\\\=8x^2-3x+7.\)
Thus, the required answer is \(8x^2-3x+7.\)
Thus, (D) is the correct option.