how do you factor 16x^2+9?

please show every step

Comments

  • 16x^2+9 is NOT factorable

    However, 16x^2 - 9 is factorable as (4x + 3) (4x - 3) called difference of squares.

  • Difference of squares.

    16x^2+9=0

    16x^2=-9

    Square root each side

    you cant take a root of a negative

  • Take the square root of it. This is called a difference of squares.

    When you take the square root, you get (4x+3)^2

  • 16x² + 9 = (4x)² - (3i)²

    = (4x - 3i)(4x + 3i)

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