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

Lösung

vereinfachen

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

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

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

(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}

Vereinfache

(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

s im pl i f y (x + 3 - 5) (x + 3 + 5)

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

e x p an d (x^{2} - y) d y

s im pl i f y 3 (5 - a)

e x p an d \frac{x y ^{2} - cos ( x ) sin ( x )}{y ( 1 - x ^{2} )}