Question

Simplify the expression (left(5x^2-7x+2^{:}right)-left(2x^2-3x-6right)) in standard form.

A. (3x^2 - 4x + 8)
B. (3x^2 - 4x - 8)
C. (7x^2 - 10x - 4)
D. (7x^2 - 10x + 4)

Answer 1

To simplify (5x^2 - 7x + 2) - (2x^2 - 3x - 6), subtract the coefficients of corresponding terms to get 3x^2 - 4x + 8, which matches option A.

Step-by-step explanation:

To simplify the expression (5x^2 - 7x + 2) - (2x^2 - 3x - 6), we need to subtract the second polynomial from the first one. This process involves combining like terms where the terms containing the same powers of x are grouped together and their coefficients are combined.

• Subtract the coefficients of x^2: 5x^2 - 2x^2 = 3x^2.
• Subtract the coefficients of x: -7x - (-3x) = -7x + 3x = -4x.
• Subtract the constant terms: 2 - (-6) = 2 + 6 = 8.

Putting it all together, the simplified expression is (3x^2 - 4x + 8), which corresponds to option A