Question

8. From the sum of 3x2 - 5x + 2 and -5x2 - 8x +6, subtract 4x2 - 9x +7​

Answer 1

Answer:

Adding:

(3x2 − 5x + 2) + (−5x2 − 8x + 6)

Rearranging and collecting the like terms:

(3-5)x2 +(− 5-8)x + 2 +6

= -2x2 − 13x + 8

Subtract 4x2 − 9x + 7 from -2x2 − 13x + 8.

Change the sign of each term of the expression that is to be subtracted and then add.

Term to be subtracted = 4x2 − 9x + 7

Changing the sign of each term of the expression gives -4x2 + 9x - 7.

On adding:

( -2x2 − 13x + 8 )+(-4x2 + 9x - 7 ) = -2x2 − 13x + 8 -4x2 + 9x - 7

= ( -2-4)x2 +(−13+9)x + 8 -7

= -6x2 − 4x + 1