Bentuk sederhanakan dari x²-16/x²+8x+16 adalah

[tex] \frac{ x^{2} - 16}{ x^{2} + 8x + 16} = \frac{(x + 4)(x - 4)}{(x + 4)(x + 4)} = \frac{(x - 4)}{(x + 4)} [/tex]

Algebra.

For numerator, using formula a² - b² = (a + b)(a - b)
[tex]\displaystyle \frac{x^2-16}{x^2+8x+16}\\ =\frac{(x+4)(x-4)}{(x^2+4x)+(4x+16)}\\ =\frac{(x+4)(x-4)}{x(x+4)+4(x+4)}\\ =\frac{(x+4)(x-4)}{(x+4)^2}=\frac{x-4}{x+4}[/tex]