please show every step
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)
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)