Multiply out and simplify:
(x-8) (x-7)

To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:

(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)

               = x² - 7x - 8x + 56

               = x² - 15x + 56

x^2-15x+56

Step-by-step explanation:

1-Distribute

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

2-Distribute

x^2-7x-8(x-7)

3-Distribute

x^2-7x-8x+56

4-Combine like terms

x^2-15x+56

(3x-8) or (3x+8)

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2