Question
create an expression equivalent to 13x2 +(4x-2x2+7) -(5x2+8x-15)?
Answers
GPT 3.5
To create an equivalent expression, we need to simplify the given expression by performing the addition and subtraction of like terms.
The given expression is:
13x^2 + (4x-2x^2+7) - (5x^2+8x-15)
First, let's remove the parentheses by distributing the negative sign inside the second set of parentheses:
13x^2 + 4x - 2x^2 + 7 - 5x^2 - 8x + 15
Then, combine like terms:
(13x^2 - 2x^2 - 5x^2) + (4x - 8x) + (7 + 15)
Simplify each set of like terms separately:
6x^2 - 4x + 22
Therefore, the equivalent expression is 6x^2 - 4x + 22.
The given expression is:
13x^2 + (4x-2x^2+7) - (5x^2+8x-15)
First, let's remove the parentheses by distributing the negative sign inside the second set of parentheses:
13x^2 + 4x - 2x^2 + 7 - 5x^2 - 8x + 15
Then, combine like terms:
(13x^2 - 2x^2 - 5x^2) + (4x - 8x) + (7 + 15)
Simplify each set of like terms separately:
6x^2 - 4x + 22
Therefore, the equivalent expression is 6x^2 - 4x + 22.