Expand and simplify the algebraic expression: (x - 5) squared + (x + 3)…
2023
Expand and simplify the algebraic expression: (x - 5) squared + (x + 3) squared + 4x.
- A.
2(x^2 - 17)
- B.
2(x^2 + 17)
- C.
(x^2 + 17)
- D.
2(x^2 - 5x + 17)
Attempted by 16 students.
Show answer & explanation
Correct answer: B
Expand each square: (x - 5)^2 = x^2 - 10x + 25 and (x + 3)^2 = x^2 + 6x + 9.
Adding 4x gives x^2 - 10x + 25 + x^2 + 6x + 9 + 4x = 2x^2 + 34.
So the simplified expression is 2(x^2 + 17).