n3atusdollen n3atusdollen
  • 21-11-2016
  • Mathematics
contestada

SOLVE. (2ax + 1/2 bx)2 ...?

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JcAlmighty
JcAlmighty JcAlmighty
  • 23-11-2016
The answer is 4a²x² + 2abx² + 1/4b²x².

This is the square of the sum. The general formula is:
(m + n)² = m² + 2mn + n²

In our case, m = 2ax and n = 1/2bx.
So:
(2ax + 1/2 bx)² = (2ax)² + 2 * 2ax * 1/2bx + (1/2bx)² = 
                        = 4a²x² + 4/2abx² + 1/4b²x² =
                        = 4a²x² + 2abx² + 1/4b²x²
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