What is expand (sqrt((36^2-y^2))-13.5)^2 ?

The solution to expand (sqrt((36^2-y^2))-13.5)^2 is -y^2-27sqrt(36^2-y^2)+1478.25

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expand (sqrt((36^2-y^2))-13.5)^2

expand

((3 6^{2} - y^{2}) - 13.5)^{2}

- y^{2} - 27 3 6^{2} - y^{2} + 1478.25

Solution steps

(3 6^{2} - y^{2} - 13.5)^{2}

Simplify

3 6^{2} - y^{2} - 13.5 : 3 6^{2} - y^{2} - 13.5

= (3 6^{2} - y^{2} - 13.5)^{2}

Apply Perfect Square Formula:

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

(3 6^{2} - y^{2} - 13.5)^{2} = (3 6^{2} - y^{2})^{2} - 2 3 6^{2} - y^{2} \cdot 13.5 + 13. 5^{2}

= (3 6^{2} - y^{2})^{2} - 2 3 6^{2} - y^{2} \cdot 13.5 + 13. 5^{2}

Simplify

(3 6^{2} - y^{2})^{2} - 2 3 6^{2} - y^{2} \cdot 13.5 + 13. 5^{2} : - y^{2} - 27 3 6^{2} - y^{2} + 1478.25

= - y^{2} - 27 3 6^{2} - y^{2} + 1478.25

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

\frac{x}{( 1 + 3 x ^{2} ) ^{2}}

\frac{( x + 1 ) ^{4}}{4}

lo g_{2} (4 w z)

\frac{x ^{4} - x ^{3} - 9 x ^{2} - 9 x - 27}{x ^{3} ( x + 3 ) ( x - 3 )}

What is expand (sqrt((36^2-y^2))-13.5)^2 ?
The solution to expand (sqrt((36^2-y^2))-13.5)^2 is -y^2-27sqrt(36^2-y^2)+1478.25