What is (sqrt(x+10)-3)^2 ?

The solution to (sqrt(x+10)-3)^2 is x-6sqrt(x+10)+19

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simplify (sqrt(x+10)-3)^2

simplify

(x + 10 - 3)^{2}

x - 6 x + 10 + 19

Solution steps

(x + 10 - 3)^{2}

Apply Perfect Square Formula:

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

(x + 10 - 3)^{2} = (x + 10)^{2} - 2 x + 10 \cdot 3 + 3^{2}

= (x + 10)^{2} - 2 x + 10 \cdot 3 + 3^{2}

Simplify

(x + 10)^{2} - 2 x + 10 \cdot 3 + 3^{2} : x - 6 x + 10 + 19

= x - 6 x + 10 + 19

2 (3 u - \frac{3}{7} v)^{2}

\frac{4 h ^{2}}{( 12 h ^{2} - 8 h + 1 ) ( 3 h + 1 )}

lo g_{10} (3) (x^{2} - 1)

\frac{e ^{- 7 x} - 2 x + 6}{( x - 3 ) ( x - 1 )}