Solve (0-140)^2*0.20+(100-140)^2*0.50+(300-140)^2*0.30

$$( 0 - 140 ) ^ { 2 } \times 0.20 + ( 100 - 140 ) ^ { 2 } \times 0.50 + ( 300 - 140 ) ^ { 2 } \times 0.30$$

Evaluate

$$12400$$

Solution Steps

Subtract 140 from 0 to get -140.

$$\left(-140\right)^{2}\times 0.2+\left(100-140\right)^{2}\times 0.5+\left(300-140\right)^{2}\times 0.3$$

Calculate -140 to the power of 2 and get 19600.

$$19600\times 0.2+\left(100-140\right)^{2}\times 0.5+\left(300-140\right)^{2}\times 0.3$$

Multiply 19600 and 0.2 to get 3920.

$$3920+\left(100-140\right)^{2}\times 0.5+\left(300-140\right)^{2}\times 0.3$$

Subtract 140 from 100 to get -40.

$$3920+\left(-40\right)^{2}\times 0.5+\left(300-140\right)^{2}\times 0.3$$

Calculate -40 to the power of 2 and get 1600.

$$3920+1600\times 0.5+\left(300-140\right)^{2}\times 0.3$$

Multiply 1600 and 0.5 to get 800.

$$3920+800+\left(300-140\right)^{2}\times 0.3$$

Add 3920 and 800 to get 4720.

$$4720+\left(300-140\right)^{2}\times 0.3$$

Subtract 140 from 300 to get 160.

$$4720+160^{2}\times 0.3$$

Calculate 160 to the power of 2 and get 25600.

$$4720+25600\times 0.3$$

Multiply 25600 and 0.3 to get 7680.

$$4720+7680$$

Add 4720 and 7680 to get 12400.

$$12400$$

Factor

$$31\times 2^{4}\times 5^{2}$$