Solve 1456*100/880=(100+4)^3-1/(100+2)^2-1

$$\frac { 1456 \times 100 } { 880 } = \frac { ( 100 + 4 ) ^ { 3 } - 1 } { ( 100 + 2 ) ^ { 2 } - 1 }$$

Verify

Solution Steps

Multiply both sides of the equation by 880.

$$1456\times 100=\frac{880}{10403}\left(\left(100+4\right)^{3}-1\right)$$

Multiply 1456 and 100 to get 145600.

$$145600=\frac{880}{10403}\left(\left(100+4\right)^{3}-1\right)$$

Add 100 and 4 to get 104.

$$145600=\frac{880}{10403}\left(104^{3}-1\right)$$

Calculate 104 to the power of 3 and get 1124864.

$$145600=\frac{880}{10403}\left(1124864-1\right)$$

Subtract 1 from 1124864 to get 1124863.

$$145600=\frac{880}{10403}\times 1124863$$

Multiply \frac{880}{10403} and 1124863 to get \frac{9610480}{101}.

$$145600=\frac{9610480}{101}$$

Convert 145600 to fraction \frac{14705600}{101}.

$$\frac{14705600}{101}=\frac{9610480}{101}$$

Compare \frac{14705600}{101} and \frac{9610480}{101}.

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