What is (sqrt(100-y^2)-21)^2 ?

The solution to (sqrt(100-y^2)-21)^2 is -y^2-42sqrt(100-y^2)+541

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simplify (sqrt(100-y^2)-21)^2

simplify

(100 - y^{2} - 21)^{2}

- y^{2} - 42 100 - y^{2} + 541

Solution steps

(100 - y^{2} - 21)^{2}

Apply Perfect Square Formula:

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

(100 - y^{2} - 21)^{2} = (100 - y^{2})^{2} - 2 100 - y^{2} \cdot 21 + 2 1^{2}

= (100 - y^{2})^{2} - 2 100 - y^{2} \cdot 21 + 2 1^{2}

Simplify

(100 - y^{2})^{2} - 2 100 - y^{2} \cdot 21 + 2 1^{2} : - y^{2} - 42 100 - y^{2} + 541

= - y^{2} - 42 100 - y^{2} + 541

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

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

- 2 (4 + 5)

\frac{- 2 s ^{2} - 3 s - 2}{s ( s + 1 ) ^{2}}

π (22 - \frac{3}{2})

What is (sqrt(100-y^2)-21)^2 ?
The solution to (sqrt(100-y^2)-21)^2 is -y^2-42sqrt(100-y^2)+541