SOLUTION: Hello, would you pls check if my answer is correct? Subtract and simplify: (2x^2 + 5x � 4) � (3x^2 � 7x + 1) My answer : �x^2 + 12x � 5 Thanks a lot, H.H

Question 604865: Hello,
would you pls check if my answer is correct?
Subtract and simplify: (2x^2 + 5x � 4) � (3x^2 � 7x + 1)
My answer : �x^2 + 12x � 5
Thanks a lot,
H.H
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Your answer is correct.
.
Because the first set of parentheses is preceded by an implied + sign, the parentheses can be removed without changing the terms inside. So after removing the first set of parentheses the problem simplifies to:
.
2x^2 + 5x - 4 - (3x^2 - 7x + 1)
.
In this simplified version of the problem, the set of parentheses is preceded by a - sign. Therefore, you can remove the parentheses if you also change the sign of every term within the parentheses. So when you remove the parentheses, the problem now simplifies to:
.
2x^2 + 5x - 4 - 3x^2 + 7x - 1
.
Now group all terms having like powers of x as follows:
.
2x^2 - 3x^2 + 5x + 7x - 4 - 1
.
and then combine each pair of the like terms and you have:
.
-x^2 + 12x - 5
.
This is exactly as you said it should be.
.
Good job and keep up the good work. I hope this gives you confidence that you understand what to do with problems such as this one.
.
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