Question

123³+73³/196 - 123×73 =?​

Answer 1

$\frac{123^{3}+73^{3}}{196}-123*73=\frac{(123+73)(123^{2}-123*73+73^{2})}{196}-123*73=\\\\=\frac{196*(123^{2}-123*73+73^{2})}{196}-123*73=123^{2}-123*73+73^{2}-123*73=\\\\=123^{2}-2*123*73+73^{2}=(123-73)^{2}=50^{2}=\boxed{2500}$

Answer 2

To calculate the expression 123³ + 73³ / 196 - 123 × 73, you should follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, and Addition and Subtraction). In this case, you should first perform the operations inside the parentheses (there are none), then calculate the exponents, then perform the multiplication and division, and finally the addition and subtraction. Here's the step-by-step calculation:

1. Calculate the exponents:

   • 123³ = 123 × 123 × 123 = 1,871,547
   • 73³ = 73 × 73 × 73 = 389,017

2. Perform the multiplication and division:

   • 1,871,547 + 389,017 / 196 - 123 × 73
   • 1,871,547 + 1,984.5 - 8,979

3. Continue with addition and subtraction:

   • 1,871,547 + 1,984.5 - 8,979 = 1,873,531.5 - 8,979

4. Finally, subtract the remaining numbers:

   • 1,873,531.5 - 8,979 = 1,864,552.5

So, 123³ + 73³ / 196 - 123 × 73 equals 1,864,552.5.