Simplify completely quantity of x squared minus 15 x plus 56 all over quantity x minus 7 . x2 + 23 x2 − 23 x + 8 x − 8

(x²-15x+56)/(x-7)

first we can factor out the numerator

x²-15x+56

we need to find a number that multiplies together to equal 56 and also adds together to equal -15

-8 and -7 fit into this criteria

x²-7x-8x+56

now we take out our common factors

x(x-7)-8(x-7)

we take the two values outside and the values inside and that is our factored form

(x-8)(x-7)

now our fraction is

since it is on the numerator and the denominator, we can cancel out (x-7)

so now we are left with our

x-8

hope this helped!