What is (sqrt(36+a^2)+sqrt(64+b^2))^2 ?

The solution to (sqrt(36+a^2)+sqrt(64+b^2))^2 is a^2+b^2+2sqrt(36+a^2)sqrt(64+b^2)+100

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simplify (sqrt(36+a^2)+sqrt(64+b^2))^2

simplify

(36 + a^{2} + 64 + b^{2})^{2}

a^{2} + b^{2} + 2 36 + a^{2} 64 + b^{2} + 100

Solution steps

(36 + a^{2} + 64 + b^{2})^{2}

Apply Perfect Square Formula:

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

(36 + a^{2} + 64 + b^{2})^{2} = (36 + a^{2})^{2} + 2 36 + a^{2} 64 + b^{2} + (64 + b^{2})^{2}

= (36 + a^{2})^{2} + 2 36 + a^{2} 64 + b^{2} + (64 + b^{2})^{2}

Simplify

(36 + a^{2})^{2} + 2 36 + a^{2} 64 + b^{2} + (64 + b^{2})^{2} : a^{2} + b^{2} + 2 36 + a^{2} 64 + b^{2} + 100

= a^{2} + b^{2} + 2 36 + a^{2} 64 + b^{2} + 100

(x + 3 - 5) (x + 3 + 5)

\frac{a ^{4 b} x ^{y b}}{c ^{(k - 2) b}}

(x^{2} - y) d y

3 (5 - a)

\frac{x y ^{2} - cos ( x ) sin ( x )}{y ( 1 - x ^{2} )}

What is (sqrt(36+a^2)+sqrt(64+b^2))^2 ?
The solution to (sqrt(36+a^2)+sqrt(64+b^2))^2 is a^2+b^2+2sqrt(36+a^2)sqrt(64+b^2)+100