Which is a reasonable first step that can be used to sove the equation 4x + 3(x+2) = 5(2x-3)? O Distribute the 3 to x + 2, and distribute the 5 to (2x -3).
O Combine 4x and x on the left side of the equation.
O Apply the subtraction property of equality to move the 2 from the left to the right side of the equation.
O Apply the addition property of equality to move the 3 from the right to the left side of the equation.

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).