Factor completely:
8x2 – 200y2
21
To factor completely, we look for common factors and apply factoring techniques such as difference of squares, perfect square trinomials, or grouping.
In this case, let's look for common factors first. The expression 8x^2 - 200y^2 has a common factor of 8. We can factor it out:
8x^2 - 200y^2 = 8(x^2 - 25y^2)
Now, we have a difference of squares in the parentheses, as x^2 - 25y^2 can be written as (x + 5y)(x - 5y) using the formula a^2 - b^2 = (a + b)(a - b).
So, the completely factored form of 8x^2 - 200y^2 is 8(x + 5y)(x - 5y).
step 1, take out a common factor of 2
step 2, you should recognize a difference of squares.