Question

Which expression is equivalent to t2 – 36?

Answer 1

Factor t2−36t2−36=(t+6)(t−6)

Answer:(t+6)(t−6)
Good luck mate :P

Answer 2

Answer:

$t^2-36=(t+6)(t-6)$

Step-by-step explanation:

the expression we have is:

$t^2-36$

which can be rewritten as:

$t^2-6^2$

this is because $36=6^2$

the equation $t^2-6^2$ is known as a Difference of squares, because we have a substraction of two elements squared.

And in a general form a Difference of squares is equivalent to:

$a^2-b^2=(a+b)(a-b)$

so in this case we can write $t^2-6^2$ as:

$t^2-6^2=(t+6)(t-6)$

ang going back to the original expression $t^2-36$, we have:

$t^2-36=(t+6)(t-6)$