If a + B + C = 0, simplify: (a + b) to the third power + (B + C) to the third power + (B + C) to the third power + (a to the third power + B to the third power + C to the third power) Yes, three times

If a + B + C = 0, simplify: (a + b) to the third power + (B + C) to the third power + (B + C) to the third power + (a to the third power + B to the third power + C to the third power) Yes, three times

A + B + C = 0 introduces a + B = - C. do you know how to calculate it?
I suspect that your original problem is wrong. You have written the third power of (B + C) twice, one of which should be (a + C) ^ 3? In that case, the result will be 0

As shown in the figure, it is a loop diagram, the width of loop channel and the length of OB are 1, and the loop line intersects with ray OA at A1, A2, A3 If the loop from O to A1 is the first circle (length is 7), and the loop from A1 to A2 is the second circle And so on. Then the length of the 20th circle is______ ．

It is found that the length of the first cycle is 2 × (1 + 2) + 1 = 7; the length of the second cycle is 2 × (3 + 4) + 1 = 15; the length of the third cycle is 2 × (5 + 6) + 1 = 23; then the length of the nth cycle is 2 × (2n-1 + 2n) + 1 = 8n-1. When n = 20, the original formula = 160-1 = 159

Mathematical algebraic problems
For a three digit number, its ten digit number is three times that of the hundred digit number, and its one digit number is two times that of the hundred digit number. Suppose that the number on the one digit of the three digit number is x, the number on the ten digit number is y, and the number on the hundred digit number is Z
(1) The three digit number is represented by an algebraic expression containing x, y and Z
(2) The three digit number is represented by an algebraic expression containing Z
(3) Write all the three digits that meet the conditions

(1) x + 10y + 100z
(2) 2z + 10×3z + 100z
= 132z
(3) 132、264、396

Problems related to mathematics (algebraic formula)
Given the square of (x + 3) + |x-y + 10 | = 0, find the value of the square of the algebraic formula 5x - [the square of 2x Y - (the square of 3xy-xy-xy) - the square of 3x] - the square of 2XY
If you can, I'd like to explain it
I'm not very good at math

From the square + | X-Y + 10 | = 0 of (x + 3), we can see that the square of X + 3 is equal to 0, that is, x = - 3, and X-Y + 10 = 0, that is, y = 10-3 = 7. Substitute x = - 3Y = 10-3 = 7 into the square of 5x - [2x square Y - (3xy-xy Square) - 3x square] - 2XY square - y, and the rest will be done by yourself? Come on!