Question

(x - 6)(x - 6) = ?

A. (x² - 36)

B. (x² + 36)

C. (x² - 6x + 36)

D. (x² - 12x + 36)

Answer 1

(x - 6)(x - 6)By component wise multiplication

= x(x - 6) - 6(x - 6) 

(from above we can see that, x.x = x², x.(-6) 

= - 6x, -6.x = - 6x, and -6.-6 = +36) 

= x² - 6x - 6x + 36 

= x² - 12x + 36 

Note: Multiplication of signs is given by-

(+) × (+) = + 

(+) × (-) = - 

(-)×(+)= - 

(-) × (-) = +