Evaluate the following by factorization
59*59-41*41
59 * 59 - 41 * 41 = 3481 - 1681 = 1800 =
2 * 900 = 2 * 2 * 450 = 2 * 2 * 2 * 225 =
2 * 2 * 2 * 3 * 75 = 2 * 2 * 2 * 3 * 3 * 25 =
2 * 2 * 2 * 3 * 3 * 5 * 5 =
2 ^ 3 * 3 ^ 2 * 5 ^ 2
59²-41²
=(59+41)(59-41)
=(100)(18)
-1800
To evaluate the expression 59*59 - 41*41 by factorization, we can use the difference of squares formula. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).
Let's break down the given expression using this formula:
59*59 - 41*41
= (59 + 41)(59 - 41) [Applying the difference of squares formula]
Now we can simplify further:
= 100 * 18
= 1800
Therefore, the expression 59*59 - 41*41 evaluates to 1800 using factorization.