Question

Which expression is equivalent to t2 – 36?

Group of answer choices

(t – 12)(t + 3)

(t – 6)(t – 6)

(t + 6)(t – 6)

(t – 12)(t – 3)

Answer 1

(t + 6)(t - 6)

Explanation:

(t - 6)(t + 6)

(t . t) + (t . (6) + ((-6) . t) + ((-6) . 6)

= t² - 6t + 6t - 36

= t² - 36

so,

t² - 36 = (t + 6)(t - 6)