Factor 64-112w+49w^2

49w² - 112w + 64

first, you have to find 2 numbers that add up to equal - 112, but also multiply together to get a product of 3136 (49 * 64)

two numbers that add to - 112 and multiply to equal 3136 is - 56 and - 56

we can add them into the equation by putting them in for - 112x

49w²-56w-56w+64

we now look at what the first 2 numbers have in common and what the last two numbers have in common

49w² and - 56w both have w and 7 in common so we can divide 7w

7w (7w - 8)

-56w and 64 both have - 8 in common so we can divide by - 8

-8 (7w-8)

now we take the 2 numbers on the outside and bring down the numbers in the brackets

(7w-8) (7w-8)

(7w-8) ²