Answer:
A = x² - 8x + 15
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x - 3)(x - 5)
each term in the second factor is multiplied by each term in the first factor
x(x - 5) - 3(x - 5) ← distribute parenthesis
= x² - 5x - 3x + 15 ← collect like terms
= x² - 8x + 15
then A = x² - 8x + 15
