Solve (755-x)(735-x)(1.11x*10^-4)

$$( 755 - x ) ( 735 - x ) ( 1.11 x \cdot 10 ^ { - 4 } )$$

Evaluate

$$\frac{111x\left(735-x\right)\left(755-x\right)}{1000000}$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\left(755-x\right)\left(735-x\right)\times 1.11x\times \frac{1}{10000}$$

Multiply 1.11 and \frac{1}{10000} to get \frac{111}{1000000}.

$$\left(755-x\right)\left(735-x\right)\times \frac{111}{1000000}x$$

Use the distributive property to multiply 755-x by 735-x and combine like terms.

$$\left(554925-1490x+x^{2}\right)\times \frac{111}{1000000}x$$

Use the distributive property to multiply 554925-1490x+x^{2} by \frac{111}{1000000}.

$$\left(\frac{2463867}{40000}-\frac{16539}{100000}x+\frac{111}{1000000}x^{2}\right)x$$

Use the distributive property to multiply \frac{2463867}{40000}-\frac{16539}{100000}x+\frac{111}{1000000}x^{2} by x.

$$\frac{2463867}{40000}x-\frac{16539}{100000}x^{2}+\frac{111}{1000000}x^{3}$$

Expand

$$\frac{111x^{3}}{1000000}-\frac{16539x^{2}}{100000}+\frac{2463867x}{40000}$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\left(755-x\right)\left(735-x\right)\times 1.11x\times \frac{1}{10000}$$

Multiply 1.11 and \frac{1}{10000} to get \frac{111}{1000000}.

$$\left(755-x\right)\left(735-x\right)\times \frac{111}{1000000}x$$

Use the distributive property to multiply 755-x by 735-x and combine like terms.

$$\left(554925-1490x+x^{2}\right)\times \frac{111}{1000000}x$$

Use the distributive property to multiply 554925-1490x+x^{2} by \frac{111}{1000000}.

$$\left(\frac{2463867}{40000}-\frac{16539}{100000}x+\frac{111}{1000000}x^{2}\right)x$$

Use the distributive property to multiply \frac{2463867}{40000}-\frac{16539}{100000}x+\frac{111}{1000000}x^{2} by x.

$$\frac{2463867}{40000}x-\frac{16539}{100000}x^{2}+\frac{111}{1000000}x^{3}$$