Question

Simplify:
(6-2√2x - x²)÷ 2-x²​

Answer 1

Step-by-step explanation:

(6-2√2x - x²)

(x^2+2√2x-6)(-1)

= (x^2+3√2x-√2x-6)(-1)

= (x(x+3√2)-√2(x+3√2))(-1)

= (√2-x)(x+3√2)

then

(√2-x)(x+3√2) / (2-x^2)

= (√2-x)(x+3√2) / (√2-x)(√2+x)

= (x+3√2)/(√2+x)