Question

Simplify.
(2a2−3ab+5b2)−(a2−2ab+3b2)
A.a4−a2b2+2b4
B.3a2−5ab+8b2
C.a2−5ab+2b2
D.a2−ab+2b2

Simplify. (6x−3)−(2x−2)
A.4x2−1
B.4x−1
C.4x−5
D.4x2−5

Answer 1

Answer:

1. D
2. B

Step-by-step explanation:

You may find this easier if you distribute the minus sign first.

1)

2a^2 -3ab +5b^2 -a^2 +2ab -3b^2

  = (2 -1)a^2 +(-3+2)ab +(5 -3)b^2

  = a^2 -ab +2b^2 . . . . . matches choice D

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2)

6x -3 -2x +2

  = (6 -2)x +(-3 +2)

  = 4x -1 . . . . . matches choice B