write a algebraic expressions portfolio

Answer 1

1. Expression: 3x + 5y

This expression represents the sum of three times x and five times y.

2. Expression: 2(x + y) - 3z

This expression represents the result of multiplying two times the sum of x and y and then subtracting three times z.

3. Expression: 4x^2 - 2y^2

This expression represents the result of subtracting two times y squared from four times x squared.

4. Expression: (2x + y)(x - 3y)

This expression represents the product of the binomial 2x + y and the binomial x - 3y.

5. Expression: 5xy^2 / (x + 2y)

This expression represents the quotient of five times x times y squared divided by the sum of x and two times y.

6. Expression: 7(x^2 - y^2) + 3xy

This expression represents the result of multiplying seven times the difference of x squared and y squared and then adding three times x times y.

7. Expression: (x^3 + 2y^2)(x - y)

This expression represents the product of the binomial x cubed plus two times y squared and the binomial x minus y.

8. Expression: 3(x + 4y)^2 - 2(x - 2y)^3

This expression represents the result of subtracting two times the cube of the binomial x minus 2y from three times the square of the binomial x plus 4y.

9. Expression: (2xy + 3)(4x - 5y) + 2(x - y)^2

This expression represents the sum of the product of the binomial 2xy plus 3 and the binomial 4x minus 5y and two times the square of the binomial x minus y.

10. Expression: 6(x^2 - 2xy + y^2) + 4y(x - y)

This expression represents the result of multiplying six times the trinomial x squared minus 2xy plus y squared and adding four times y times the binomial x minus y.