Solve 15^2-6(1/4+2/3)^2=-6

$$15 ^ { 2 } - 6 ( \frac { 1 } { 4 } + \frac { 2 } { 3 } ) ^ { 2 } = - 6$$

Verify

Solution Steps

Calculate 15 to the power of 2 and get 225.

$$225-6\left(\frac{1}{4}+\frac{2}{3}\right)^{2}=-6$$

Add \frac{1}{4} and \frac{2}{3} to get \frac{11}{12}.

$$225-6\times \left(\frac{11}{12}\right)^{2}=-6$$

Calculate \frac{11}{12} to the power of 2 and get \frac{121}{144}.

$$225-6\times \frac{121}{144}=-6$$

Multiply 6 and \frac{121}{144} to get \frac{121}{24}.

$$225-\frac{121}{24}=-6$$

Subtract \frac{121}{24} from 225 to get \frac{5279}{24}.

$$\frac{5279}{24}=-6$$

Convert -6 to fraction -\frac{144}{24}.

$$\frac{5279}{24}=-\frac{144}{24}$$

Compare \frac{5279}{24} and -\frac{144}{24}.

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