Question

Subtract: (2x2 − 9x + 2) − (−7x2 + 4x − 3)

A. - 5x^2 - 13 + 5
B. - 5x^2 - 5x + 1
C. 9x^2 - 13x + 5
D. 9x^2 - 5x + 5

Answer 1

the asnwer is C since the second one is infront of a negative change all the signs of ur 2nd trinomial thil will give you (7x2-4x+3) now add common like terms in the 2 trinomials 2x2 with 9x2 -9x with -4x and 2 with 3 to get 9x2 -13x+5

Hope this helps

Answer 2

C.
`9x^2 - 13x + 5`

Explanation:

Given expression is,

`(2x^2-9x+2)-(-7x^2+4x-3)`

By distributive property,

`=2x^2-9x+2+7x^2-4x+3` ( (-).(-) = (+) and (-).(+)=(-) )

By combining like terms,

`=(2+7)x^2-(9+4)x+(2+3)`

`=9x^2-13x+5`

Hence,

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

Option C is correct.