simplifying

Question 1

√x

Answer 1

x^1/2

Question 2

5/(x^2)

Answer 2

5x^-2

Question 3

cubic rule :
a^3 - b^3

Answer 3

(a-b)(a^2+ab+b^2)

Question 4

rationalizing (√ - √)
√(x^2 + 2x) - √(x^2 - 2x)

Answer 4

(√(x^2 + 2x) - √(x^2 - 2x)) * (√(x^2 + 2x) + √(x^2 - 2x))

Question 5

factoring out x
√(x^2 + x)/x

Answer 5

√(x^2(1 + 1/x))/x = x√(1+ 1/x) / x

Question 6

Binominial theorem
(a + h)^3

Answer 6

a^3 + 3a^2h + 3ah^2 + h^3