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Can someone show me how step by step how to solve this problem...

Rewrite the middle term as the sum of two terms and then factor by grouping.

x^2-2x-63

step 1. Find two factors which when multiplied will give you -63 and when added will give you -2

how about -9 and +7??

step 2:

rewrite -2x as -9x + 7x

then x^2 - 9x + 7x - 63
find the common factors of the first two terms and the last two terms

x(x-9) + 7(x-9), notice you now have another common factor, the x-9

finally (x-9)[x+7]

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