factor 100x^2 - 81
(10x-9)(10x+9)
correct. The difference of two squares it is.
100x2 + 90x - 90x - 81 =
Answer:100x2 - 81
To factor the expression 100x^2 - 81, we can use a special factoring pattern known as the difference of squares. The difference of squares pattern states that if we have an expression in the form a^2 - b^2, we can factor it as (a + b)(a - b).
In our case, a^2 is 100x^2 and b^2 is 81. To find a and b, we need to take the square root of both terms. The square root of 100x^2 is 10x, and the square root of 81 is 9. Therefore, a = 10x and b = 9.
Plugging the values of a and b into the difference of squares pattern, we get:
100x^2 - 81 = (10x + 9)(10x - 9)
So, the factorization of 100x^2 - 81 is (10x + 9)(10x - 9).