Question

(4x+1)(5x-2) 20x² + 3x - 2 20x² - 11x + 5 20x² - 18x + 2 20x² - 3x - 2

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$4x \times 5x = 20x^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$4x \times (-2) = -8x$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$1 \times 5x = 5x$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$1 \times (-2) = -2$

Step5: Combine all terms

Sum the results from steps 1-4:
$20x^2 - 8x + 5x - 2$

Step6: Combine like terms

Simplify the linear terms:
$20x^2 + (-8x + 5x) - 2 = 20x^2 - 3x - 2$

Answer:

20x² - 3x - 2 (the option in the teal/blue rightmost box)