What is (sqrt(p+10)-sqrt(p-5))^2 ?

The solution to (sqrt(p+10)-sqrt(p-5))^2 is 2p-2sqrt(p+10)sqrt(p-5)+5

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simplify (sqrt(p+10)-sqrt(p-5))^2

simplify

(p + 10 - p - 5)^{2}

2 p - 2 p + 10 p - 5 + 5

Solution steps

(p + 10 - p - 5)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(p + 10 - p - 5)^{2} = (p + 10)^{2} - 2 p + 10 p - 5 + (p - 5)^{2}

= (p + 10)^{2} - 2 p + 10 p - 5 + (p - 5)^{2}

Simplify

(p + 10)^{2} - 2 p + 10 p - 5 + (p - 5)^{2} : 2 p - 2 p + 10 p - 5 + 5

= 2 p - 2 p + 10 p - 5 + 5

cos (x + 2) + x (\frac{x}{2} + 2)

(1 - cos (θ))^{3}

\frac{x - 2}{( x - 1 ) ( x + 2 )}

(\frac{3 m}{4} + \frac{1}{6}) (\frac{m}{4} - \frac{5}{6})

What is (sqrt(p+10)-sqrt(p-5))^2 ?
The solution to (sqrt(p+10)-sqrt(p-5))^2 is 2p-2sqrt(p+10)sqrt(p-5)+5