Evaluate the following by factorization

Question

Evaluate the following by factorization

59*59-41*41

Answer 1

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

Answer 2

59²-41²

=(59+41)(59-41)
=(100)(18)
-1800

Answer 3

To evaluate the expression 5959 - 4141 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.

Evaluate the following by factorization

59 * 59 - 41 * 41 = 3481 - 1681 = 1800 =

59²-41²

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).

To evaluate the expression 5959 - 4141 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).