Question

subtract: (−2x2 + 9x − 3) − (7x2 − 4x + 2) −9x2 − 13x + 5 −9x2 + 13x − 5 5x2 − 13x − 1 5x2 + 5x − 5

Answer 1

17x² - 5x + 11 = 0

Explanation:

To add or subtract a polynomial do the operation with like - terms.

i.e., Two terms of x² gets added or subtracted. Similarly terms of x and constant.

Here, we have to subtract:

`$ 2x^2 + 9x - 3 - 7x^2 + 4x - 8 - 9x^2 - 13x + 5 - 9x^2 + 13x - 5 + 5x^2 - 13x - 1 + 5x^2 + 5x - 5 $`

Club all the like terms for easier simplification. We get:

`$ (-2 - 7 - 9 - 9 + 5 + 5)x^2 + (9 + 4 - 13 + 13 - 13 + 5)x + (-3 - 2 + 5 - 5 - 1) $`

`$ \implies - 17 x^2 + 5x - 11 = 0 $`

Multiplying by -1 throughout:

17x² - 5x + 11 = 0 is the answer.