Solve (-72/29-2)^2=(24/29-5)(276/29+4)

$$( \frac { - 72 } { 29 } - 2 ) ^ { 2 } = ( \frac { 24 } { 29 } - 5 ) ( \frac { 276 } { 29 } + 4 )$$

Verify

Solution Steps

Fraction \frac{-72}{29} can be rewritten as -\frac{72}{29} by extracting the negative sign.

$$\left(-\frac{72}{29}-2\right)^{2}=\left(\frac{24}{29}-5\right)\left(\frac{276}{29}+4\right)$$

Subtract 2 from -\frac{72}{29} to get -\frac{130}{29}.

$$\left(-\frac{130}{29}\right)^{2}=\left(\frac{24}{29}-5\right)\left(\frac{276}{29}+4\right)$$

Calculate -\frac{130}{29} to the power of 2 and get \frac{16900}{841}.

$$\frac{16900}{841}=\left(\frac{24}{29}-5\right)\left(\frac{276}{29}+4\right)$$

Subtract 5 from \frac{24}{29} to get -\frac{121}{29}.

$$\frac{16900}{841}=-\frac{121}{29}\left(\frac{276}{29}+4\right)$$

Add \frac{276}{29} and 4 to get \frac{392}{29}.

$$\frac{16900}{841}=-\frac{121}{29}\times \frac{392}{29}$$

Multiply -\frac{121}{29} and \frac{392}{29} to get -\frac{47432}{841}.

$$\frac{16900}{841}=-\frac{47432}{841}$$

Compare \frac{16900}{841} and -\frac{47432}{841}.

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