What is (q+sqrt(r^2-y^2))^2 ?

The solution to (q+sqrt(r^2-y^2))^2 is q^2+2qsqrt(r^2-y^2)+r^2-y^2

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simplify (q+sqrt(r^2-y^2))^2

simplify

(q + r^{2} - y^{2})^{2}

q^{2} + 2 q r^{2} - y^{2} + r^{2} - y^{2}

Solution steps

(q + r^{2} - y^{2})^{2}

Apply Perfect Square Formula:

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

(q + r^{2} - y^{2})^{2} = q^{2} + 2 q r^{2} - y^{2} + (r^{2} - y^{2})^{2}

= q^{2} + 2 q r^{2} - y^{2} + (r^{2} - y^{2})^{2}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(r^{2} - y^{2})^{2} = r^{2} - y^{2}

= q^{2} + 2 q r^{2} - y^{2} + r^{2} - y^{2}

\frac{k}{s ( s + 2 )}

zy (z = e^{x + y} + e^{x - y})

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

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

\frac{20 ( x ^{2} - 6 )}{x ^{5}}

What is (q+sqrt(r^2-y^2))^2 ?
The solution to (q+sqrt(r^2-y^2))^2 is q^2+2qsqrt(r^2-y^2)+r^2-y^2