Answer:
Option B
Step-by-step explanation:
Given expression is,
(x² - 18x + 180)
Which is in the form of (ax² + bx + c)
To factorize the given expression, we will split b in two parts [tex]b_1[/tex] and [tex]b_2[/tex] so that,
[tex]b=b_1+b_2[/tex]
And [tex]c=b_1\times b_2[/tex]
If b = 18,
[tex]b_1=10[/tex] and [tex]b_2=8[/tex]
c = 10 × 8 = 80
Therefore, (x² - 18x + 180) = x² - 10x - 8x + 80
= x(x - 10) - 8(x - 10)
= (x - 8)(x - 10)
Option B is the correct option.
