Solve a^2 b^2=c^2 c

Evaluate

a^{2} b^{2} = c^{2} \times c

Multiply the terms

More Steps

a^{2} b^{2} = c^{3}

Rewrite the expression

b^{2} a^{2} = c^{3}

Divide both sides

\frac{b ^{2} a ^{2}}{b ^{2}} = \frac{c ^{3}}{b ^{2}}

Divide the numbers

a^{2} = \frac{c ^{3}}{b ^{2}}

Take the root of both sides of the equation and remember to use both positive and negative roots

a = \pm \frac{c ^{3}}{b ^{2}}

Simplify the expression

More Steps

a = \pm \frac{c ^{3}}{∣ b ∣}

Separate the equation into 2 possible cases

a = \frac{c ^{3}}{∣ b ∣} a = - \frac{c ^{3}}{∣ b ∣}

Simplify

a = \frac{c c}{∣ b ∣} a = - \frac{c ^{3}}{∣ b ∣}

Solution

a = \frac{c c}{∣ b ∣} a = - \frac{c c}{∣ b ∣}

Solve the equation