Question

Write an algebraic expression for each verbal expression. Then simplify indicating the properties used. 4 times the difference of f squared and g, increased by the sum of f squared and 2g

Answer 1

4 times the diference of f squared and g: 4(f²-g)
The sum of f squared an 2g : f²+2g

therefore, we have:
4(f²-g)+(f²+2g)=4f²-4g+f²+2g=5f²-2g

answer: 5f²-2g