Question

Which of the following is equal to the rational expression when x≠-6?

x²-36
——
x+6

A. x + 6
B. x-6
C. x² - 6
D. 1
—
x- 6

Answer 1

the option b is equal to the rational expression when x≠-6?

Answer 2

`\dashrightarrow \: \frac{ {x}^(2) - 36}{x + 6} \\ \\ \dashrightarrow \: \frac{( \cancel{x + 6})(x - 6)}{\cancel{x + 6}} \\ \\ \dashrightarrow\boxed{ \: x - 6 \: }`

therefore , option ( B ) is correct.

• Step 2 was done by keeping in mind the algebraic identity "a² - b² = ( a + b )( a - b)"

hope helpful! :)