Question

1-7 unit 1 post assessment the expression $4x(2x + 7) - 5(3x - 2)$ simplifies to $20x^2 - 5x - 25$ $8x^2 + 13x + 10$ $20x^2 + 19x + 10$ $8x^2 + 3x - 10$

Explanation:

Step1: Expand first product term

$4x(2x+7) = 8x^2 + 28x$

Step2: Expand second product term

$-5(3x-2) = -15x + 10$

Step3: Combine expanded terms

$8x^2 + 28x - 15x + 10$

Step4: Combine like x terms

$8x^2 + (28x - 15x) + 10 = 8x^2 + 13x + 10$

Answer:

$\boldsymbol{8x^2 + 13x + 10}$ (corresponding to the third option)