What is (1-3sqrt(x+2))^2 ?

The solution to (1-3sqrt(x+2))^2 is 9x-6sqrt(x+2)+19

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simplify (1-3sqrt(x+2))^2

simplify

(1 - 3 x + 2)^{2}

9 x - 6 x + 2 + 19

Solution steps

(1 - 3 x + 2)^{2}

Apply Perfect Square Formula:

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

(1 - 3 x + 2)^{2} = 1^{2} - 2 \cdot 1 \cdot 3 x + 2 + (3 x + 2)^{2}

= 1^{2} - 2 \cdot 1 \cdot 3 x + 2 + (3 x + 2)^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot 3 x + 2 + (3 x + 2)^{2} : 9 x - 6 x + 2 + 19

= 9 x - 6 x + 2 + 19

(x^{2} y^{2} + y + x - 2) d y

\frac{8 s ( s + 1 ) ( s - 6 )}{( s + 2 ) ( s + 3 ) ( s - 7 )}

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

\frac{m ^{2} + n ^{2}}{( m + n ) ^{2}}

A (4, - 6)