Question

Simplify the expression: (2x^2 + 3x - 5) - (4x^2 - 2x + 7).

Answer 1

To simplify the expression: (2x^2 + 3x - 5) - (4x^2 - 2x + 7), we need to combine like terms.

First, we can distribute the negative sign to the terms inside the second set of parentheses:

(2x^2 + 3x - 5) - 4x^2 + 2x - 7

Next, we can combine the like terms:

(2x^2 - 4x^2) + (3x + 2x) + (-5 - 7)

-2x^2 + 5x - 12

Therefore, the simplified expression is -2x^2 + 5x - 12.

Answer 2

To simplify this expression, we need to distribute the negative sign to the second parenthesis:

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

Now we can combine like terms:

2x^2 - 4x^2 + 3x + 2x - 5 - 7 = -2x^2 + 5x - 12

Therefore, the simplified expression is:

-2x^2 + 5x - 12.

Answer 3

To simplify the expression, we need to subtract the terms in the second parentheses from the terms in the first parentheses. We can do this by removing the parentheses and changing the signs of the terms in the second parentheses. Then, we can combine the like terms by adding or subtracting their coefficients. The steps are shown below:

(2x^2+3x-5) - (4x^2-2x+7)

= 2x^2+3x-5-4x^2+2x-7

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

= -2x^2+5x-12

This is the simplest form of the expression.

Answer 4

To simplify the expression (2x^2 + 3x - 5) - (4x^2 - 2x + 7), you can combine like terms. Start by distributing the negative sign to the terms inside the second parentheses, which gives you -4x^2 + 2x - 7. Then, combine the like terms by subtracting the corresponding coefficients of the same degree. In this case, subtract 4x^2 from 2x^2 to get -2x^2, add 2x and 3x to get 5x, and subtract 7. Therefore, the simplified expression is -2x^2 + 5x - 12.

Answer 5

We are going to simplify the given expression as follows 

(2x²+3x-5)-(4x²-2x+7)= 2x²+3x-5-4x²+2x-7

now by collecting the like terms we get

=2x²-4x²+3x+2x-5-7

=(2-4)x²+(3+2)x(-5-7)

= -2x²+5x-12

Therefore when we simplify the expression (2x²+3x-5)-(4x²-2x+7) the result becomes -2x²+5x-12