Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11)
?(1 point)
Responses
12x2+2
12 x squared plus 2
7x2+29x+24
7 x squared plus 29 x plus 24
9x2+17x+13−2x2−12x−11
9 x squared plus 17 x plus 13 minus 2 x squared minus 12 x minus 11
7x2+5x+2
To simplify the expression (9x^2+17x+13)−(2x^2+12x+11), we need to subtract the second polynomial from the first one. We do this by distributing the negative sign (the subtraction) to each term of the second polynomial and then combining like terms:
(9x^2 + 17x + 13) - (2x^2 + 12x + 11)
= 9x^2 + 17x + 13 - 2x^2 - 12x - 11
Now, combine like terms by adding or subtracting the coefficients of the same power of x:
9x^2 - 2x^2 = 7x^2
17x - 12x = 5x
13 - 11 = 2
Putting it all together, the expression simplifies to:
7x^2 + 5x + 2
So, the correct answer is:
7x^2 + 5x + 2