SolveMathAI

Factor 9x^2 - 24x + 16

Worked through step by step. More factoring.

Answer
(3x−4)2\boxed{(3x - 4)^2}

Expanding (3x−4)2(3x - 4)^2 using FOIL yields the original expression 9x2−24x+169x^2 - 24x + 16.

Problem: Factor the quadratic expression 9x2−24x+169x^2 - 24x + 16.

Steps

  1. Identify as a perfect square trinomial
    (3x)2−2(3x)(4)+(4)2(3x)^2 - 2(3x)(4) + (4)^2
  2. Apply the square of a difference formula
    (3x−4)2(3x - 4)^2

Generated by SolveMath AI and kept here so the next person asking gets it instantly. AI can make mistakes, so check anything that matters.

Solve your own

Same solver, same steps, no account.

Enter to solve · Shift+Enter for a new line

  • Free
  • No account
  • Every step shown
  • Arithmetic to calculus

More solved problems

Factoring solver →
Factor x^2 - 5x + 6Factor x^2 + 7x + 12Factor 4x^2 - 9Factor 6x^2 + 11x - 10Factor x^3 - 8Factor x^2 - 16