Solve sqrt(s(s-a)(s-b)(s-c))

Evaluate

s (s - a) (s - b) (s - c)

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(s^{2} - s a) (s - b) (s - c)

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(s^{3} - s^{2} b - s^{2} a + s ab) (s - c)

Apply the distributive property

s^{3} \times s - s^{3} c - s^{2} b s - (- s^{2} b c) - s^{2} a s - (- s^{2} a c) + s ab s - s ab c

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s^{4} - s^{3} c - s^{2} b s - (- s^{2} b c) - s^{2} a s - (- s^{2} a c) + s ab s - s ab c

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s^{4} - s^{3} c - s^{3} b - (- s^{2} b c) - s^{2} a s - (- s^{2} a c) + s ab s - s ab c

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s^{4} - s^{3} c - s^{3} b - (- s^{2} b c) - s^{3} a - (- s^{2} a c) + s ab s - s ab c

Multiply the terms

s^{4} - s^{3} c - s^{3} b - (- s^{2} b c) - s^{3} a - (- s^{2} a c) + s^{2} ab - s ab c

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

s^{4} - s^{3} c - s^{3} b + s^{2} b c - s^{3} a + s^{2} a c + s^{2} ab - s ab c

Simplify the expression