5. Use algebraic manipulation to find the minimum sum-of-products expression for the function: 6. Use algebraic manipulation to show the following statement is true y+xz+xy = x + y + z 7. Design the simplest sum-of-products circuit that implements the function f(x, ,x .x) m(0,3,4,5,6,7) 8. Design the simplest product-of-sums circuit that implements the function: f(x , x, , x, )- M(0,4,5,7) 9. Derive the simplest sum-of-products expression for the following function: f(x, ,x, ,x,,x)- m (0.1 ,2458.10.12.14)