Question

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What is the fully factored form of the expression 9r2 - 100s2t2?

a
(9r + 100st) (r - st)
b
(9r - 100st) (r - st)
c
(3r + 10st) (3r - 10st)
d
(3r - 10st) (3r - 10st)

Answer 1

Aja augsbakaau a aakahba San

Answer 2

C

Explanation:

We can notice the expression is the special product a^2 - b^2, which can be factored into (a + b)(a - b). By correlating the expression with the formula, we can say:

a^2 = 9r^2

-and-

b^2 = 100s^2t^2

Therefore:

a = 3r

-and-

b = 10st

Now we can substitute these values into the factored form, (a + b)(a - b):

(3r + 10st)(3r - 10st)

This is the same as option C, meaning C is the answer.