Final answer:
The given equation (3x²-6x+11)-(10x⁻⁴x+6) simplifies to -7x² - 2x + 5, which is equivalent to expression A.
Step-by-step explanation:
To determine which expression (A, B, or C) the given equation (3x²-6x+11)-(10x⁻⁴x+6) is equivalent to, we must first simplify it. The subtraction of polynomials involves subtracting the corresponding coefficients of the same powers of x.
First, let's simplify the second term in the parentheses:
(3x²-6x+11)-(10x²-4x+6) becomes 3x²-6x+11-10x²+4x-6.
Then we combine like terms by adding or subtracting the coefficients of the same powers:
-7x² + (-6x+4x) +(11-6)
= -7x² - 2x + 5, which matches expression A.
Thus, the simplified form of the given equation is equivalent to expression A.
Consider the expressions shown below.
A -7x²-2x+5
B 7x²-2x+7
C 7x²+2x-5
Complete the following statements with the letter that represents the expression. (3x²-6x+11)-(10x⁻⁴x+6) is equivalent to expression___